黃毅青

修訂日期：2024年8月12日

主要學歷：

美國普渡 (Purdue) 大學數學系博士（1987-1991）(Advisor: L. G. Brown)

香港中文大學數學系碩士（1985-1987）(Advisor: 黃友川教授)

香港中文大學數學系學士（1981-1985）

主要經歷：

現職：國立中山大學應用數學系特聘教授（1991.08到校）

國立中山大學應用數學系系主任（2003.08至2006.07, 2010.09至2010.10)、

非線性分析及離散數學研究中心主任（2007.04至2011.03)、

非線性優化潛力研究群計畫主持人（2011.04至2013.04)、

計算器及網路中心作業組組長 (2002.10至2003.07)、

應用數學系副教授（1991.08 至1997.01)、

應用數學系教授（1997.02 至今)、

特聘 (研究) 教授 (2011.08 至今)

高雄醫學大學合聘教授

醫務管理暨醫療資訊學系 (2019.8 至今)

基礎科學中心 (2013.2 – 2016.7, 2020.8 至2022.7)

天津工業大學數學學院訪問學者 (2019.8 至 2020.1)

香港中文大學數學系訪問學者 (2007.07至2007.12)

英國倫敦大學 Goldsmiths’ College 訪問學者 (1999.7至 1999.11)

北京中國科學院數學研究所訪問學者 (1998.6, 2001.7)

香港理工學院 (現名香港理工大學) 數學系客座講師 (1986至1987)

一) 歷年獲獎資料

1991-2000年國科會甲等研究獎助 (該獎助自2001年起停辦)

1993年國立中山大學理學院新人研究獎。

1996年因指導『大專學生參與專題研究計畫：殘形幾何學及其應用』，獲國科會頒贈【指導有成】盾牌一面。

2001年因連續十年獲國科會甲等研究獎助，獲中山大學頒贈盾牌一面，並永久另掛一面于〔中山名人牆〕上。

2002-2023年國科會甲種研究計畫主持人費 (該獎助自2002年起開辦)。

2004年受華人數學家大會 ICCM 2004邀請發表45分鐘演講。

2006年國立中山大學研究績優獎。

2007-11年國立中山大學教學研究獎勵。

2011-17年國立中山大學特聘 (研究) 教授。

2008年 Keynote speaker of “9^th International Pure Mathematics Conference 2008”, Islamabad, Pakistan, August 22-24, 2008.

2008年 Plenary speaker of “Workshop of Jordan Structures in Analysis and Operator Theory”, Granada, Spain, Nov. 13-15, 2018.

2010年 Plenary speaker of “International Conference on Algebra”, Jogyakarta, Indonesia, Oct. 7-10, 2010.

2012, 14, 18, 22年國立中山大學教學優良課程獎勵狀。

2012年 Plenary speaker of “International Conference on Analytic Mathematics and its Applications” (ICAMA’2013), Tianjin, China, Aug. 1-4, 2013.

2013年 Plenary speaker of “7th Conference on Function Spaces 2014”, Edwardsville, Illinois, USA, May 20-24, 2014.

2017年 Plenary speaker of “Preservers Everywhere”, Szeged, Hungary, 19-23 June, 2017.

2019年受華人數學家大會 ICCM 2019邀請發表45分鐘演講。

Plenary speaker of “7th International Conference on Analytic Mathematics and its Applications” (ICAMA2019), North Minzu University, Yinchuan, Ningxia, China, August 4-8, 2019.

2021年 Plenary speaker of “21st International Pure Mathematics Conference (IPMC)”, September 24-26, 2021, Quaid-i-Azam University, Islamabad, Pakistan. (online)

2021年 Plenary speaker of “27th International Conference of International Academy of Physical Sciences on Functional and Numerical Analysis (CONIAPS XXVII)”. October 26-28, 2021, Pt. Ravishankar Shukla University, Raipur, India (online).

2021年 Plenary speaker of “International Conference on Nonlinear Applied Analysis and Optimization” (ICNAAO-2021), Dec. 21-23, 2021, Indian Institute of Technology, Banaras Hindu University, India. (online)

2023年 Invited speaker of “The International Conference of Optimization and Control Theory with Application (ICOCTA)”, 24-26 August, 2023, Hanoi Pedagogical University 2, Vietnam.

2023年國立中山大學研究績優獎。

2024年 Plenary speaker of “Conference on Functional Analysis and Fractals” (CFAF-2024), February 16-18, 2024, India. (online)

2024年國立中山大學研究績優獎。

二) 學術期刊編輯 Editorial Board Members of Math Journals

1. Operators and Matrices (SCI, 2007-)、

2. Asian-European J. Math. (ESCI, 2008-)、

3. Taiwanese J. Math. (SCI, 2010-2014)

4. Abstract and Applied Analysis (SCI, 2011-2019)

5. Linear and Multilinear Algebra (SCI, 2012-)

6. Banach Journal of Mathematical Analysis (SCI, 2015-)

7. Pure and Applied Functional Analysis (2016-)

8. Journal of Mathematics (SCI, 2020-2023)

9. Mathematics Open (2022-, published by World Scientific).

三) 論文發表之質與量自評

截至2024.2.19, 黃毅青 (Ngai-Ching Wong) 共發表了數學論文182篇，其中發表在列名於 SCI 期刊者約有162篇，且在 WOS中共有1813個被引用紀錄, h-index = 20. 另外，黃毅青已刊行教材專著－－微積分 (台灣滄海)、數學分析 (北京科學出版社) ，及已簽約待發行－－ Measure theory on Hausdorff spaces (星加坡 World Scientific)、Functional Analysis ((北京科學出版社) 。

黃毅青為多份著名SCI數學期刊，如Operators and Matrices, Linear and Multilinear Algebra, Banach Journal of Mathematical Analysis, Taiwanese Journal of Mathematics等, 擔任編輯委員。他在Banach-Stone 問題和運算元代數間的保距和保斥映射問題，有所突破。在Fleming和 Jamison的專著 Isometries on Banach spaces: function spaces (Chapman & Hall/CRC) 中，有專門的一節討論他的結果。另外，在Narici和 Beckenstein 的名著 “Topological Vector Spaces” 的第二版(2012年出版) 的第九章和第十章中，也有多處引用了黃毅青有關 Banach-Stone 問題、加權複合函數和Banach格上的Hahn-Banach擴充性定理的結果。

1. 黃毅青與匈牙利University of Szeged 的 Lajos Molnar，南開大學的李磊 (Lei Li) 和湖南紡織大學的董雲柏 (Yunbai Dong) 等合作，對於作用在運算元代數正元素之間的一般非線性變換進行深入研究，並證明了：如果保持算術、調和、以及幾何均的範數，即，則可以擴充為作用于全代數間的約當 *-同構。這些結果，對於量子通信和理論物理有關各種運算元平均的研究，有所幫助。部份成果被整理發表為論文：

i. Yunbai Dong, Lei Li, Lajos Molnar and Ngai-Ching Wong, “Transformations preserving the norm of means between positive cones in general and commutative C*-algebras”, J. Operator Theory, 88 (2022), Issue 2, 365-406.

2. 黃毅青與香港中文大學的梁子威 (Chi-Wai Leung), 加拿大 University of Alberta的劉道明 (Anthony T.-M. Lau), 和天津南開大學的吳志強 (Chi-Keung Ng) 等合作，對非交換的空間進行研究。特別地，對於如何通過正球面的幾何性質，來決定 -代數的Jordan 結構的描述，有一系列的結果。這些結果, 被應用來刻劃定義在局部緊群或量子群上的 Fourier 代數的同構理論，由此得到不少深刻的結果。部份成果被整理到以下的論文中：

ii. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Bounded positive parts of noncommutative -spaces determine Jordan structures”, Linear Algebra and Applications, 519 (2017) pp. 102-110.

iii. Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semigroups that determine locally compact groups”, Quarterly J. Math. 69 (2018), 501–508.

iv. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, Metric preserving bijection between thin positive bells of non-commutative -spaces, J. Operator Theory 80, Issue 2 (2018), 429-452.

v. Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semi-groups of normal states determine F-algebras”, Quarterly J. Math 70 (2019), Issue 2, 429-450.

3. 黃毅青與吳志強 (Chi-Keung Ng) 完成了 C*-代數的完整分類理論。在 1930’s 年代, F. J. Murray 和 J. Von Neumann 以 “On rings of operator, I, II, III, …” 為題，在 Annals of Mathematics 發表了一系列論文，開創了現代運算元代數理論領域，研究的物件是 C*-代數和 W*-代數。他們最重要的工作是利用投影元素的性質，將 W*-代數分成I, II, III三型和有限, 無限兩類；總結為5種不同的類型：. 但是，由於C*-代數缺乏投影元素，一直沒有完善的C*-代數分類理論出現。我們繼承了 Cuntz, Pedersen, Peligrad 和 Zsido 的工作，提出了分別以正元素和開投影元素作為分類的依據，完成了兩套完整的C*-代數的分類方法。我們的工作整理為論文：

vi. “A Murray-von Neumann type classification of C*-algebras”, in “Operator semigroups meet complex analysis, harmonic analysis and mathematical physics”, Operator Theory: Advances and Applications, vol. 250, 369–395, Springer International Publ., 2015.

vii. “Comparisons of equivalence relations on open projections”, J. Operator Theory 74, Issue 1, (2015), 101-123.

viii. “On the decomposition into discrete, type II and type III C*-algebras”, Math. Proc. Camb. Phil. Soc, 165, Issue 3 (2018), 475-509.

4. 黃毅青與劉道明 (Anthony T.-M. Lau) 對於作用在W*-代數的預偶空間 (predual) 的保正交性映射，給出了完整的刻劃。基本上這類映射的對偶映射是約當同態 (Jordan homomorphism) 和乘子映射的複合： . 當我們應用到 Fourier 代數時，考慮到作為群馮－諾伊曼代數的預偶空間，其元素 , 同時具備有支撐投影的正交性和點積函數的互斥性兩種結構，我們得到了其間拓樸群結構的刻劃：局部緊致群上的 Fourier 和 Fourier-Stieltjes 代數間的保斥性映射，都是由拓樸群同構所誘導的 , 其中是群的拓樸群同構，而是群代數的乘子。詳見：

ix. “Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups”, J. Funct. Anal., 265(4) (2013), 562–593.

5. 黃毅青、蔡宗文 (Chung-Wen Tsai) 與梁子威 (Chi-Wai Leung) 對於作用於W*-代數間的保斥線性映射作出了突破性的工作，在我們合作的論文：

x. “Linear disjointness preservers of W*-algebras”, Math. Z., 270 (2012), no. 3-4, 699–708,

證明了所有此類映射都是代數同構與乘子運算的複合，從而為C*-代數版本的猜想提供有力的佐證。我們證明了作用於W*-代數間的各類型保斥線性映射，即滿足條件：

或

都是代數同構與乘子運算的複合：.

6. 為了解決由 Micheal Frank 所提出的有關Hilbert C*-模理論的四大 open problems 之一，黃毅青、梁子威 (Chi-Wai Leung) 與吳志強 (Chi-Keung Ng)對於作用於 Hilbert C*-模間的保正交性線性映射的研究，作出了一系列完整的結果。設, 分別是 C*-代數上具有-值內積的 Hilbert 模。對於滿足保正交性條件

的模映射的研究，我們建立了完整的結果。基本上，它們都是保運算元值內積的酉性運算元：

其中為 C*-代數的中心乘子。詳見：

xi. “Linear orthogonality preservers of Hilbert bundles”, J. Australian Math. Soc., 89 (2010), no. 2, 245–254.

xii. “Linear orthogonality preservers of Hilbert C*-modules over C*-algebras with real rank zero”, Proc. Amer. Math. Soc., 140 (2012), no. 9, 3151–3160.

xiii. “Linear orthogonality preservers of Hilbert C*-modules”, J. Operator Theory, 71:2(2014), 571–584.

另一方面，黃毅青與許銘修 (Ming-Hsiu Hsu) 完成了作用於實 C*-模間的保距運算元的完整刻劃。詳見：

Ming-Hsiu Hsu and Ngai-Ching Wong, “Isometries of real Hilbert C*-modules”, J. Math. Anal. Appl., 438(2), 2016, 807–827

7. 黃毅青、卜慶營 (Qingying Bu)、廖靜柔 (Chingjou Liao) 、許銘修 (Ming-Hsiu Hsu)與王雅書 (Ya-Shu Wang)，對於作用於運算元代數或函數空間之間的斥性可加可乘微分運算元，給出了完整的刻劃，發表了一系列的論文。令為從 C*-代數的單位開球送到另一個 C*-代數的解析保形映射 (conformal map)，且對於互斥的元素, 即 , 滿足和 , 則我們可以得到的解析級數表現

其中, 為的一列乘子, 而為 Jordan $*$-同構。詳見：

xiv. “Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices”, Ann. Funct. Anal., 5 (2) (2014), 80-89.

xv. “Orthogonally additive and multiplicative polynomials and holomorphic maps between Fourier algebras”, Quarterly J. Math., (2016) 67 (1), 125-136.

xvi. “Orthogonally additive holomorphic maps between C*-algebras”, Studia Math., 234 (2016), no. 3, 195-216.

8. 黃毅青與林英芬 (Yin-Fen Lin) 合作的論文：

xvii. “The structure of compact disjointness preserving maps of continuous functions”, Math. Nachr., 282, No. 7 (2009), 1009 – 1021.

首度引入了圖論的技巧，完全地刻劃了連續函數空間緊致保斥性運算元的譜結構，以及各種緊性的等價關係，引起了很多同行的應用和推廣。其中包括了相應的作用在連續向量空間 (Jeang and Lin, Proc. AMS. 2008), 可微函數空間 (Leung and Wang, Trans. AMS. 2013), 和 C*-代數 (Fernández-Polo, Garcés and Peralta, Math. Z. 2012) 之間的緊致保斥性運算元的平行結果。

9. 黃毅青與姚任之 (Jen-Chi Yao)、B. T. Kien 、D. R. Sahu等合作，在固定點理論和演算法的研究，以及其對優化和控制理論的應用，作出了一些較好的結果，例如：

xviii. “Necessary conditions for multiobjective optimal control problems with free end-time”, SIAM J. Control and Optimization, 47 (2008), no. 5, 2251--2274.

xix. “A unified hybrid iterative method for solving variational inequalities involving generalized contractive mappings”, SIAM J. Control and Optimization, Vol. 50, No. 4 (2012), 2335–2354.

四) 學術期刊論文 (* 表示通訊作者, NSYSU=以中山大學具名, SCI=發表於列名在 ISI Scientific Citations Index Expanded 之期刊文章)

1. Y.-C. Wong and Ngai-Ching Wong, "Topologies and bornologies determined by operator ideals," Mathematische Annalen, vol. 282, pp. 587--614, 1988. Get .pdf file

2. Ngai-Ching Wong and Y.-C. Wong, "The bornologically surjective hull of an operator ideal on locally convex spaces," Mathematische Nachrichten, vol. 160, pp. 265--275, 1993. Get .pdf file

3. Ngai-Ching Wong, "Topologies and bornologies determined by operator ideals, II," Studia Mathematica, vol. 111, no. 2, pp. 153--162, 1994. Get .pdf file

4. Ngai-Ching Wong, "Left quotients of a C*-algebra, I : Representation via vector sections," Journal of Operator Theory, vol. 32, pp. 185--201, 1994. Get .pdf file

5. H.-L. Gau and Ngai-Ching Wong, "Some converses of the strong separation theorem," Proceedings of the American Mathematical Society, vol. 124, no. 8, pp. 2443--2449, 1996. Get .pdf file

6. J.-S. Jeang and Ngai-Ching Wong, "Weighted composition operators of C₀(X)'s," Journal of Mathematical Analysis and Applications, vol. 201, pp. 981--993, 1996. Get .pdf file

7. J.-S. Jeang and Ngai-Ching Wong, "Into isometries of C0(X,E)‘s," Journal of Mathematical Analysis and Applications, vol. 207, pp. 286--290, 1997. Get .pdf file

8. N.-K. Ho and Ngai-Ching Wong, "Space-filling curves and Hausdorff dimensions," Southeast Asian Bulletin of Mathematics, vol. 21, pp. 105--111, 1997. Get .pdf file

9. Q.~A. Ansari, Ngai-Ching Wong, and J.-C. Yao, "On the existence of nonlinear inequalities," Appl. Math. Letters, vol. 12, no. 5, 89-92, 1999. Get .pdf file

10. C.-C. Tseng and Ngai-Ching Wong, "Invertibility in infinite dimensional spaces," Proc. Amer. Math. Soc., vol. 128, pp. 573-581, 2000. Get .pdf file

11. L. G. Brown and Ngai-Ching Wong, "Left quotients of a C*-algebra, II : Atomic parts of left quotients," J. Operator Theory, vol. 44, 207-222, 2000. Get .pdf file (pre-production version)

12. Lawrence G. Brown and Ngai-Ching Wong, “On C^*-algebras cut down by closed projections: Characterizing elements via the extreme boundary”, Taiwanese J. Math., vol. 5, no. 2, 2001, 433-441. Get .pdf file

13. Juh-Yin Chen, Ngai-Ching Wong and Jen-Chih Yao, “Algorithm for generalized co-complementarity problems in Banach spaces”, Computers and Mathematics with Applications, vol. 43 (1-2), 2002, 49—54. Get .pdf file

14. Rodica-Mihaela Danet and Ngai-Ching Wong, Hahn-Banach-Kantorovich Type Theorems With the range space not necessarily (o)-complete, Taiwanese J. Math., vol. 6, no. 2 (2002), 241—246. Get .pdf file

15. Rodica-Mihaela Danet and Ngai-Ching Wong, “Extension Theorems without Dedekind completeness ”, Rendiconti del Circolo Mathematico di Palermo., Series II, Supp. 68 (2002), 381--387. Get .pdf file

16. Hwa-Long Gau, Jyh-Shyang Jeang and Ngai-Ching Wong, “A Banach-Stone theorem for separating linear bijections”, Taiwanese J. Math., vol. 6, no. 3 (2002), 399-403. Get .pdf file

17. Jyh-Shyang Jeang and Ngai-Ching Wong, ``Isometric shifts on C₀(X)'s'', J. Math. Anal. Appl., vol. 274, no. 2 (2002), 772-787. Get .pdf file.

18. Mikhail A. Chebotar, Wen-Fong Ke, Pjek-Hwee Lee and Ngai-Ching Wong, “ Mappings preserving zero products”, Studia Math., vol. 155, no. 1 (2003), 77-94. Get .pdf file

19. Jyh-Shyang Jeang and Ngai-Ching Wong, ``Disjointness preserving Fredholm operators of C₀(X)'s'', J. Operator Theory, vol. 49, no. 1 (2003), 61-75. Get .pdf file

20. Hwa-Long Gau, Jyh-Shyang Jeang and Ngai-Ching Wong, “Biseparating linear maps between continuous vector-valued function spaces”, J. Australian Math. Soc., Series A, vol. 74, no. 1 (2003), 101-111. Get .pdf file

21. Yin-Fen Lin and Ngai-Ching Wong, “Constructing space-filling curves of compact connected manifolds”, Computers and Mathematics with Applications, 45 (2003), no. 12, 1871-1881. Get .dvi file (50K, skip pictures), Get .pdf file (489K, two pictures)

22. Oauyl Chadli, Ngai-Ching Wong and Jen-Chih Yao, “Equilibrium Problems with Applications to Eigenvalue Problems”, J. Optimization Theory and Applications, vol. 117, no. 2 (2003), 245-266. Get .pdf file

23. J.-S. Jeang and Ngai-Ching Wong, "On the Banach-Stone Problem," Studia Math., vol. 155, no. 2 (2003), 95-105. Get .pdf file

24. Wen-Fong Ke, Bing-Ren Li and Ngai-Ching Wong, “Zero product preserving maps of continuous operator valued functions”, Proc. Amer. Math. Soc., 132 (2004), 1979-1985. Get .pdf file

25. Lawrence G. Brown and Ngai-Ching Wong, “Unbounded disjointness preserving linear functionals”, Monatshefte fur Mathematik, 141 (2004), no. 1, 21 - 32. Get .pdf file

26. Meng-Han Li and Ngai-Ching Wong, ``Sums of angles of star polygons'', Southeast Asian Bulletin of Math., 28 (2004), no. 3, 437-446. Get .pdf file

27. Cho-Ho Chu and Ngai-Ching Wong, “Isometries between C*-algebras”, Revista Matematica Iberoamericana, 20 (2004), no. 1, 87--105. Get .dvi file (74K), Get .pdf file (206K).

28. Ngai-Ching Wong, “Triple homomorphisms of operators algebras”, Southeast Asian Bulletin of Math., 29 (2005), 401–407. Get .pdf file

29. Lai-Jiu Lin, Ngai-Ching Wong and Zenn-Tsuen Yu, “Continuous selections and fixed points of multi-valued mappings on non-compact or non-metrizable spaces”, Proc. Amer. Math. Soc., 133 (2005), no. 11, 3421--3427. Get .pdf file

30. Yin-Fen Lin and Ngai-Ching Wong, ``Power compact disjointness preserving maps of continuous functions'', Bulletin of the Irish Mathematical Society, 55 (2005), 7–14. Get .pdf file

31. L. C. Zeng, G. M. Lee and Ngai-Ching Wong, “Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of browder-petryshyn type”, Taiwanese J. Math., 10 (2006), no. 1, 87--99. Get .pdf file

32. Lu-chuan Ceng, Ngai-Ching Wong and Jen-Chih Yao, “Implicit predictor-corrector iteration process for finitely many asymptotically (quasi-) nonexpansive mappings”, Journal of Inequalities and Applications, 2006, Art. ID 65983, 11 pp. Get .pdf file

33. Lu-Chuan Zeng, Ngai-Ching Wong, and Jen-Chih Yao, “Strong convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type”, Taiwanese J. Math., 10 (2006), no. 4, 837-849. Get .pdf file

34. Yen-Cherng Lin, Ngai-Ching Wong and Jen-Chih Yao, “Strong Convergence Theorems of Ishikawa Iteration Process With Errors For Fixed points of Lipschitz Continuous Mappings in Banach Spaces”, Taiwanese J. Math., 10 (2006), no. 2, 543-552. Get .pdf file

35. Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao, “Convergence of hybrid steepest-descent methods for generalized variational inequalities”, Acta Math Sinica (english series), 22 (2006), no.1, 1 - 12. Get .pdf file

36. Jong-Hui Liu and Ngai-Ching Wong, “2-Local automorphisms of operator algebras”, J. Math. Anal. Appl., 321 (2006), no. 2, 741-750. Get .pdf file

37. Li-Shu Chen, Jyh-Shyang Jeang and Ngai-Ching Wong, ``Disjointness preserving shifts on C₀(X)'s'', J. Math. Anal. Appl., 325 (2007), no. 1, 400-421. Get .dvi file (321K, needs xypic fonts), Get .pdf file (303K)

38. Bui Trong Kien, Ngai-Ching Wong and Jen-Chih Yao, “On the solution existence of generalized quasivariational inequalities with discontinuous functions”, J. Optimization Theory and Application, 135(3) (2007), 515-530. Get .pdf file

39. Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao, “Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities”, J. Optimization Theory and Application, 132(1) (2007), 51-69. Get .pdf file

40. Jong-Hui Liu, and Ngai-Ching Wong, “Local automorphisms of operator algebras”, Taiwanese J. Math., 11 (2007), no. 3, 611-619. Get .pdf file

41. Jinchuan Hou, Chi-Kwong Li, and Ngai-Ching Wong, “Jordan isomorphisms and maps preserving spectra of certain operator products”, Studia Math., 184 (2008), 31-47. Get .pdf file

42. Bui Trong Kien, Mu-Ming Wong, Ngai-Ching Wong, “On the degree theory for general mappings of monotone type”, J. Math. Anal. Appl., 340(1) (2008), 707-720. Get .pdf file

43. Bui Trong Kien, Ngai-Ching Wong and Jen-Chih Yao, “Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators”, Nonlinear Analysis, TMA, 68(9), 2008, 2859-2871. Get .pdf file

44. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, “Property T for non-unital C*-algebras”, J. Math. Anal. Appl., 341(2), 2008, 1102-1106. Get .pdf file

45. Lu-Chuan Ceng, Bui Trong Kien and Ngai-Ching Wong, “Convergence analysis of a hybrid relaxed-extragradient method for monotone variational inequalities and fixed point problems”, Taiwanese J. Math., 12 (2008), no. 9, 2549-2568. Get .pdf file

46. Bui Trong Kien, Ngai-Ching Wong and Jen-Chih Yao, “On the solution existence of implicit quasivariational inequalities with discontinuous multifunctions”, Optimization, 57 (2008), no. 4, 515--526. Get .pdf file

47. L. C. Ceng and Ngai-Ching Wong, “Viscosity approximation methods for equilibrium problems and fixed point problems of nonlinear semigroups”, Taiwanese J. Math., in press. Get .pdf file

48. Q. H. Ansari*, Y. C. Liou, V. Obukhovskii and N. C. Wong, “Topological degree methods in boundary value problems for degenerate functional differential inclusions with infinite delay”, Taiwanese J. Math., 12 (2008), no. 7, 1827--1847. Get .pdf file

49. Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao, “Convergence analysis of iterative sequences for a pair of mappings in Banach spaces”, Acta Math Sinica (english series), 24 (2008), no. 3, 463--470. Get .pdf file

50. D. R. Sahu, N. C. Wong and J. C. Yao, “Solving variational inequalities involving nonexpansive type mappings”, Nonlinear Analysis, Series A: Theory, Methods & Applications, 69 (2008), no. 12, 4732--4753. Get .pdf file

51. Mark C. Ho, Mu-Ming Wong and Ngai-Ching Wong, “The denseness of algebraic elements in a C*-algebra”, Taiwanese J. Math., 12 (2008), no. 9, 2593-2600. Get .pdf

52. Jin Xi Chen, Zi Li Chen and Ngai-Ching Wong, “A Banach-Stone Theorem for Riesz Isomorphisms of Banach Lattices”, Proc. AMS., 136 (2008), no. 11, 3869--3874.. Get .pdf file

53. Hwa-Long Gau, Chih-Jen Wang and Ngai-Ching Wong, “Invertibility and Fredholmness of linear sums of quadratic, k-potent and nilpotent operators”, Oper. Matrices 2 (2008), no. 2, 193--199. Get .pdf file

54. B. T. Kien, N.-C. Wong and J.-C. Yao, “Necessary conditions for multiobjective optimal control problems with free end-time”, SIAM J. Control and Optimization, 47 (2008), no. 5, 2251--2274. Get .pdf file

55. Lu-Chuan Ceng, Ngai-Ching Wong, and Jen-Chih Yao, “Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumptions”, Computers and Mathematics with Applications, 56 (2008), no. 9, 2312--2322. Get .pdf file

56. B. T. Kien, Y. C. Liou, N.-C. Wong and J.-C. Yao, “Subgradients of value functions in parametric dynamic programming”, European J. Operation Research, 193 (2009), no. 1, 12--22. Get .pdf file

57. Bui Trong Kien, Mu-Ming Wong, Ngai-Ching Wong, and Jen-Chih Yao, “Degree theory for generalized variational inequalities: solution existence and stability”, European J. Operation Research, 192 (2009), no. 3, 730--736. Get .pdf file

58. Bui Trong Kien, Mu-Ming Wong, Ngai-Ching Wong and Jen-Chih Yao, “Solution existence of variational inequalities with pseudomonotone operators in the sense of Brezis”, J. Optimization Theory and Application, 140 (2009), no. 2, 249--263. Get .pdf file

59. Yin-Fen Lin and Ngai-Ching Wong, ``The structure of compact disjointness preserving maps of continuous functions'', Math. Nachr., 282, No. 7 (2009), 1009 – 1021. Get .pdf file

60. D. R. Sahu, N. C. Wong and J. C. Yao, “On convergence analysis of an iterative algorithm for finding common solution of generalized mixed equilibrium problems and fixed point problems”, Mathematical Inequalities & Applications, 12 (2009), no. 3, 625--649. Get .pdf file

61. B. T. Kien, N. Q. Huy and N. C. Wong*, “On the solution existence of generalized vector quasi-equilibrium problems with discontinuous multifunctions”, Taiwanese J. Math., 13 (2009), no. 2B, 757--775. Get .pdf file

62. Chi-Wai Leung, Chung-Wen Tsai and Ngai-Ching Wong*, “Separating linear maps of continuous fields of Banach spaces”, Asian-European J. Math., 2 (2009), no. 3, 445-452. Get .pdf file

63. Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Unitaries in JB-algebras”, J. Math. Anal. Appl., 360(2) (2009), 491-494. Get .pdf file

64. Chi-Wai Leung and Ngai-Ching Wong*, “Zero product preservers of CCR C*-algebras with Hausdorff spectrum”, J. Math. Anal. Appl., 361(1) (2010), 187-194. Get .pdf file

65. Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Geometric pre-ordering on C*-algebras”, Journal of Operator Theory, 63 (2010), no. 1, 115–128. Get .pdf file

66. Jinchuan Hou, Chi-Kwong Li and Ngai-Ching Wong*, “Maps preserving the spectrum of generalized Jordan product of operators”, Linear Algebra and Applications, 432 (2010), no. 4, 1049—1069. Get .pdf file

67. Lu-Chuan Ceng, N. Hadjisavvas and Ngai-Ching Wong*, “Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems”, J. Global Optimization, 46 (2010), 635-646. Get .pdf file

68. Tran Dinh Ke and Ngai-Ching Wong*, “Asymptotic behavior for retarded parabolic equations with superlinear perturbations”, J. Optimization Theory and Application, 146, Issue 1 (2010), Page 117-135. Get .pdf file

69. Ching-Jou Liao and Ngai-Ching Wong*, “Smoothly embedded subspaces of a Banach space”, Taiwanese J. Math., 14 (2010), no. 4, 1629–1634. Get .pdf file

70. Chung-Wen Tsai and Ngai-Ching Wong*, “Linear orthogonality preservers of standard operator algebras”, Taiwanese J. Math., 14 (2010), no. 3B, 1047–1053. Get .pdf file

71. Chi-Wai Leung*, Chi-Keung Ng and Ngai-Ching Wong, “Linear orthogonality preservers of Hilbert bundles”, J. Aust. Math. Soc. 89 (2010), 245–254. (NSYSU, SCI). Get .pdf file

72. Jian-Wen Peng and Ngai-Ching Wong*, “Some modified extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings”, Taiwanese J. Math., 15 (2011), no. 1, 353–363. Get .pdf file

73. Ming-Hsiu Hsu and Ngai-Ching Wong*, “Isometric embeddings of Banach bundles”, Taiwanese J. Math., 15 (2011), No. 5, pp. 1969-1978. Get .pdf file

74. D. R. Sahu, Ngai-Ching Wong and Jen-Chih Yao*, “A generalized hybrid steepest-descent method for variational inequalities in Banach Spaces”, Fixed Point Theory and Applications, Volume 2011 (2011), Article ID 754702, 28 pages (NSYSU, SCI). Get .pdf file

75. L. C. Ceng, Q. H. Ansari, N.-C. Wong* and J.-C. Yao, “An extragradient-like approximation method for variational inequalities and fixed point problems”, Fixed Point Theory and Applications, 2011, 2011:22. Get .pdf file

76. X. F. Luo, L. H. Peng, C. Li and N. C. Wong*, “Characterizations and uniqueness of best simultaneous τC-Approximations”, Taiwanese J. Math., 15 (2011), No. 5, 2357-2376. (NSYSU, SCI). Get .pdf file

77. Tran Dinh Ke, Valeri Obukhovskii*, Ngai-Ching Wong and Jen-Chih Yao, “An abstract Cauchy problem for higher order functional differential inclusions with infinite delay”, Discussiones Mathematicae: Differential Inclusions Control and Optimization, 31 (2011), 199–229. Get .pdf file

78. Chung-Wen Tsai and Ngai-Ching Wong*, “Rank preserving in integral extensions of commutative C*-algebras”, Taiwanese J. Math., 16(2) (2012), 545–553. (NSYSU, SCI). Get .pdf file

79. Tran Dinh Ke, Valeri Obukhovskii*, Ngai-Ching Wong and Jen-Chih Yao, “Approximate controllability for systems governed by nonlinear Volterra type equations”, Differ. Equ. Dyn. Syst., 20(1) (2012), 35-52. Get .pdf file

80. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Weak and strong convergence theorems for extended hybrid mappings in Hilbert spaces”, J. Nonlinear and Convex Analysis, 12 (2011), no. 3, 553-557. (NSYSU, SCI). Get .pdf file Get .pdf file

81. Eskandar Naraghirad, Ngai-Ching Wong* and Jen-Chih Yao, “Strong convergence theorems by a hybrid extragradient-like approximation method for asymptotically nonexpansive mappings in the intermediate sense In Hilbert spaces”, Journal of Inequalities and Applications, 2011, 2011:119, 10 pages. doi:10.1186/1029-242X-2011-119. Get .pdf file

82. Tran Dinh Ke and Ngai-Ching Wong*, “Long-time behavior for a model of porous-medium equations with variable coefficients”, Optimization, 60 (2011), no. 6, 709–724. Get .pdf file

83. Ming-Hsiu Hsu and Ngai-Ching Wong*, “Inner products and module maps of Hilbert C*-modules”, Matimyas Matematika, vol. 34, Nos. 1-2 (2011), 56-62. (NSYSU). Get .pdf file

84. Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Automatic continuity and and C₀(Ω)-linearity of linear maps between C₀(Ω)-modules”, J. Operator Theory 67 (2012), Issue 1, 3-20. (NSYSU, SCI). Get .pdf file

85. N. Hadjisavvas*, S. Schaible and N.-C. Wong, “Pseudomonotone operators: a survey of the theory and its applications”, J. Optimization Theory and Applications, 152 (2012), 1–20. (NSYSU, SCI). Get .pdf file

86. Lu-Chuan Ceng, Ngai-Ching Wong* and Jen-Chih Yao, “Well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations”, Journal of Applied Mathematics, vol. 2012 (2012), Article ID 712306, 21 pages. doi:10.1155/2012/712306 (NSYSU, SCI). Get .pdf file

87. Chi-Wai Leung*, Chi-Keung Ng and Ngai-Ching Wong, “Linear orthogonality preservers of Hilbert C*-modules over C*-algebras with real rank zero”, Proc. A.M.S., 140 (2012), no. 9, 3151–3160. (NSYSU, SCI). Get .pdf file

88. Chi-Wai Leung*, Chung-Wen Tsai and Ngai-Ching Wong, “Linear disjointness preservers of W*-algebras”, Math. Z., 270 (2012), no. 3-4, 699–708. (NSYSU, SCI). Get .pdf file

89. L. C. Ceng, N. C. Wong and J. C. Yao*, Strong and weak convergence theorems for an infinite family of nonexpansive mappings and applications, Fixed Point Theory and Applications, 2012, 2012:117 doi:10.1186/1687-1812-2012-117. Get .pdf file

90. B. T. Kien, N.-C. Wong, J.-C. Yao*, “Necessary conditions for multiobjective optimal control problems with state constraints”, Dynamics of Continuous, Discrete & Impulsive Systems, Series B: Applications & Algorithms, 19 (2012), no. 3, 431–446. Get .pdf file

91. Wataru Takahashi, Ngai-Ching Wong* and Jen-Chih Yao, “Two generalized strong convergence theorems of Halpern's type in Hilbert spaces and applications”, Taiwanese J. Math., 16 (2012), no. 3, 1151–1172. (NSYSU, SCI). IF: 0.530, Get .pdf file

92. Tran Dinh Ke, Valeri Obukhovskii, Ngai-Ching Wong* and Jen-Chih Yao, “On semilinear Integro-differential equations with nonlocal conditions in Banach spaces”, Abstract and Applied Analysis, Volume 2012 (2012), Article ID 137576, 26 pages, doi:10.1155/2012/137576. (NSYSU, SCI). Get .pdf file

93. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces”, Journal of Fixed Point Theory and Applications, 11 (2012), 159-183. Get .pdf file

94. Lu-Chuan Ceng, Qamrul Hasan Ansari, Ngai-Ching Wong* and Jen-Chih Yao, “Iimplicit iterative method for hierarchical variational inequalities,” J. Applied Math., Volume 2012 (2012), Article ID 472935, 14 pages. (SCI, NSYSU) Get .pdf file

95. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Fixed point theorems for three new nonlinear mappings in Banach spaces”, J. Nonlinear and Convex Analysis, Volume 13, Number 2, (2012), 363-381. (NSYSU, SCI). Get .pdf file Get .pdf file

96. Qingying Bu* and Ngai-Ching Wong, “Some geometric properties inherited by the positive tensor products of atomic Banach lattices”, Indagationes Mathematicae, vol. 23, no. 3 (2012), 199–213. (NSYSU, SCI). Get .pdf file

97. Lei Li* and Ngai-Ching Wong, “Banch-Stone theorems for vector-valued functions on completely regular spaces”, J. Math. Anal. Appl., vol. 395, no. 1 (2012), 265–274. Get .pdf file

98. D. R. Sahu, Ngai-Ching Wong* and Jen-Chih Yao, “A unified hybrid iterative method for solving variational inequalities involving generalized contractive mappings”, SIAM J. Control and Optimization, Vol. 50, No. 4 (2012), 2335–2354. Get .pdf file

99. Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Attractive point and weak convergence theorems for new generalized hybrid mappings in Hilbert spaces”, J. Nonlinear and Convex Analysis, Volume 13, Number 4, (2012), 13 pages.. Get .pdf file Get .pdf file

100. Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems”, Fixed Point Theory and Applications, Volume 2012:181, doi:10.1186/1687-1812-2012-181, 2012. Get .pdf file

101. Tran Dinh Ke, Valeri Obukhovskii, Ngai-Ching Wong* and Jen-Chih Yao, “On a class of fractional order differential inclusions with infinite delays”, Applicable Analysis, 92(1) (2013), 115-137, DOI:10.1080/00036811.2011.601454 (NSYSU, SCI). Get .pdf file

102. Eskandar Naraghirad, Ngai-Ching Wong* and Jen-Chih Yao, “Approximating fixed points of -nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces”, Fixed Point Theory and Applications, 2013, 2013:57. doi:10.1186/1687-1812-2013-57. Get .pdf file

103. D. R. Sahu, Ngai-Ching Wong* and Jen-Chih Yao, “Strong convergence theorems for semigroups of asymptotically nonexpansive mappings in Banach spaces”, Abstract and Applied Analysis, vol. 2013, Article ID 202095, 8 pages, 2013. doi:10.1155/2013/202095. Get .pdf file

104. Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Fixed point theorems for nonlinear non-self mappings in Hilbert spaces and applications”, Fixed Point Theory and Applications, .2013, 2013:116. DOI: 10.1186/1687-1812-2013-116. Get .pdf file

105. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Fixed point theorems for general contractive mappings with w-distances in metric spaces”, J. Nonlinear and Convex Analysis, Volume 14, Number 3, (2013), 637–648.. (NSYSU, SCI).. Get .pdf fileGet .pdf file

106. Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Fixed point theorems for new generalized hybrid mappings in Hilbert spaces and applications”, Taiwanese J. Math., 17 (2013), No. 5, 1597-1611. Get .pdf file

107. Anthony Lau and Ngai-Ching Wong*, “Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups”, J. Functional Analysis, , 265 (2013), Issue 4, 562–593.. Get .pdf file

108. Lawrence G. Brown and Ngai-Ching Wong*, "Left quotients of a C*-algebra, III : Operators on left quotients," Studia Math., 218 (3) (2013), 189-217. Get .pdf file

109. Yonghong Yao, Yeong-Cheng Liou and Ngai-Ching Wong*, “Superimposed optimization methods for the mixed equilibrium problem and variational inclusion”, J. Global Optimization, 57 (3) (2013), 935-950. Get .pdf file

110. Lei Li* and Ngai-Ching Wong, “Kaplansky theorem for completely regular spaces”, Proc. Amer. Math. Soc., 142 (4) (2014), 1381-1389 Get .pdf file

111. David Li-Wei Kuo, Ming-Cheng Tsai, Ngai-Ching Wong* and Jun Zhang, “Maps preserving Schatten p-norms of convex combinations”, Abstract and Applied Analysis Volume 2014 (2014), Article ID 520795, 5 pages. Get .pdf file

112. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Weak and strong convergence theorems for commutative families of positively homogeneous nonexpansive mappings in Banach spaces”, J. Nonlinear and Convex Analysis, 15 (3) (2014), 557-572. (NSYSU, SCI) Get .pdf file Get .pdf file

113. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Nonlinear ergodic theorem for positively homogeneous nonexpansive mappings in Banach spaces and applications”, Numerical Functional Analysis and Optimization, 35(1) (2014), 85-98. (NSYSU, SCI) Get .pdf file

114. Qingying Bu, Chingjou Liao and Ngai-Ching Wong*, “Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices”, Ann. Funct. Anal., Volume 5, Number 2, 2014, 80-89. (NSYSU, SCI) Get .pdf file

115. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Nonlinear ergodic theorem for commutative families of positively homogeneous nonexpansive mappings in Banach spaces”, J. Convex Analysis, 21 (2014), no. 2, 535–552. (NSYSU, SCI) Get .pdf file

116. Eskandar Naraghirad*, Ngai-Ching Wong and Jen-Chih Yao, “Applications of the Bregman-Opial property to Bregman nonspreading mappings”, Abstract and Applied Analysis, Volume 2014 (2014), Article ID 272867, 14 pages. (NSYSU, SCI). IF: 1.442, 17/279 JCR2010 math Get .pdf file

117. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive point and mean convergence theorems for semigroups of mappings without continuity in Hilbert spaces”, J. Nonlinear and Convex Analysis, 15 (2014), no. 6, 1087-1103. Get .pdf file

118. Lu-Chuan Ceng, Ngai-Ching Wong* and Jen-Chih Yao, “Regularized hybrid iterative algorithms for triple hierarchical variational inequalities”, J. Inequalities and Applications, 2014:490 doi:10.1186/1029-242X-2014-490. Get .pdf file

119. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Linear orthogonality preservers of Hilbert C*-modules”, J. Operator Theory, 71:2(2014), 571–584. Get .pdf file

120. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive point and mean convergence theorems for semigroups of mappings without continuity in Banach spaces”, Journal of Fixed Point Theory and Applications, 16 (2014) 203–227. Get .pdf file

121. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive points and Halpern’s type strong convergence theorems in Hilbert spaces”, Journal of Fixed Point Theory and Applications, 17 (2015), 301–311. Get .pdf file

122. Chi-Kwong Li, Ming-Cheng Tsai*, Kuo-Zhong Wang and Ngai-Ching Wong, “The spectrum of the product of operators, and the product of their numerical ranges”, Linear Algebra and Application, 469 (2915), 487–499. Get .pdf file

123. Qingying Bu*, Donghai Ji and Ngai-Ching Wong, “Weak Sequential Completeness of Spaces of Homogeneous Polynomials”, J. Math. Anal. Appl., 427 (2015) 1119–1130. Get .pdf file

124. Chi-Keung Ng and Ngai-Ching Wong, “Comparisons of equivalence relations on open projections”, J. Operator Theory, 74, Issue 1, (2015), 101-123. Get .pdf file

125. Dijana Ilisevic, Chih-Neng Liu and Ngai-Ching Wong, “When the average of composition operators being a projection”, J. Nonlinear and Convex Analysis 16, no. 7, (2015), 1353-1362. Get .pdf file

126. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Strong convergence theorems for commutative families of linear contractive operators in Banach spaces”, J. Nonlinear and Convex Analysis, 16 (2015), no. 2, 193-209. Get .pdf file Get .pdf file

127. Lu-Chuan Ceng, Ngai-Ching Wong* and Jen-Chih Yao, “Hybrid extragradient methods for fiinding minimum norm solutions of split feasibility problems”, J. Nonlinear and Convex Analysis, 16 (2015), no. 10, 1965-1983. Get .pdf file

128. Chi-Wai Leung*, Chi-Keung Ng and Ngai-Ching Wong, “On a notion of closeness of groups”, Ann. Funct. Anal., 7 (2016), no. 1, 24-32. Get .pdf file

129. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Transition probability of normal states determine the Jordan structure of a quantum system”, J. Math. Physics, 57 (2016), 015212, 13 pages; doi: 10.1063/1.4936404 Get .pdf file

130. Ya-Shu Wang* and Ngai-Ching Wong, “Orthogonally additive and multiplicative polynomials and holomorphic maps between Fourier algebras”, Quarterly J. Math., (2016) 67 (1), 125-136. Get .pdf file

131. Wen-Fong Ke, King-Fai Lai, Tsung-Lin Lee* and Ngai-Ching Wong, “Preconditioning Random Toeplitz Systems”, J. Nonlinear and Convex Analysis, 17 (2016), no. 4, 757-770. Get .pdf file

132. Yonghong Yao, Yeong-Cheng Liou and Ngai-Ching Wong*, “An iterative algorithms based on the implicit midpoint rule for nonexpansive mappings”, J. Nonlinear and Convex Analysis, 17 (2016), no. 4, 655-668. Get .pdf file

133. Ming-Hsiu Hsu* and Ngai-Ching Wong, “Isometries of real Hilbert C*-modules”, J. Math. Anal. Appl., 438(2), 2016, 807–827. Get .pdf file

134. Qingying Bu, Ming-Hsiu Hsu and Ngai-Ching Wong*, “Orthogonally additive holomorphic maps between C*-algebras”, Studia Math., 234 (2016), no. 3, 195-216. Get .pdf file

135. Ching-Jou Liao, Jung-Hui Liu and Ngai-Ching Wong*, “Sums of orthomorphisms of continuous functions”, Pure and Applied Functional Analysis, 1 (2016), no. 3, 417-428. Get .pdf file

136. Wen-Fong Ke, King-Fai Lai, Tsung-Lin Lee* and Ngai-Ching Wong, “Random Toeplitz Operators and Eigenvalue Distributions”, J. Nonlinear and Convex Analysis, 17 (2016), no.9, 1717-1728. Get .pdf file

137. Chi-Keung Ng* and Ngai-Ching Wong, “An abstract framework for Murray-von Neumann type classification schemes of C*-algebras” , Acta Mathematica Sinica, Chinese Series, as appeared in “C*-代数的 Murray-von Neumann 分类理论的抽象架构”, 数学学报 (中文版) , 60 (2017), Issue 1, 159-172. Get .pdf file

138. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Bounded positive parts of noncommutative -spaces determine Jordan structures”, Linear Algebra and Applications, 519 (2017) pp. 102-110. Get .pdf file

139. Dijana Iliševié*, Chih-Neng Liu and Ngai-Ching Wong, “Generalized -circular projections on JB*-triples and Hilbert -modules”, Concr. Oper. 4 (2017), 109–120. (NSYSU) Get .pdf file

140. Lu-Chuan Ceng, D. R. Sahu, Ching-Feng Wen and Ngai-Ching Wong*, “Generalized η-D-gap functions and error bounds for a class of equilibrium problems”, Applicable Analysis, 96 (2017), Issue 14, 2367-2389.

141. Chi-Keung Ng and Ngai-Ching Wong, “On the decomposition into discrete, type II and type III C*-algebras”, Math Proc. Camb. Phil. Soc., 165, Issue 3 (2018) , 475-509. Get .pdf file

142. Hong-Yi Chen, György Pál Gehér, Chih-Neng Liu, Lajos Molnár, Dániel Virosztek and Ngai-Ching Wong, “Generalized isometries of the positive definite cone with respect to the quantum -divergences”, Letters of Math. Physics 107 (2017), 2267–2290 https://doi.org/10.1007. Get .pdf file

143. Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semigroups that determine locally compact groups”, Quarterly J. Math. 69 (2018), 501–508. Get .pdf file

144. Hong-Yi Chen, D. R. Sahu and Ngai-Ching Wong, “Iterative algorithms for solving multiple split common fixed point problems in Hilbert spaces”, J. Nonlinear and Convex Analysis 19 (2018), Number 2, 265-285. Get .pdf file

145. Jung-Hui Liu, Chun-Yen Chou, Ching-Jou Liao And Ngai-Ching Wong, “Linear disjointness preservers of operator algebras and related structures”, Acta Sci. Math. (Szeged), 84 (2018), 277–307. Get .pdf file

146. Jung-Hui Liu, Chun-Yen Chou, Ching-Jou Liao And Ngai-Ching Wong, “Disjointness preservers of AW*-algebras”, Linear Alg. Appl. 552 (2018), 71-84. Get .pdf file

147. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, Metric preserving bijection between thin positive bells of non-commutative -spaces, J. Operator Theory 80, Issue 2 (2018), 429-452. Get .pdf file

148. Rahim Alizadeh and Ngai-Ching Wong, “An Ostrowski theorem for compact operators”, J. Nonlinear and Convex Analysis, 19 (2018), Number 12, 2129-2133. Get .pdf file

149. Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semi-groups of normal states determine F-algebras”, Quarterly J. Math., 70 (2019), Issue 2, 429-450.

150. Hong-Yi Chen, Kyung Soo Kim, Eskandar Naraghirad, Ching-Feng Wen, Ngai-Ching Wong and Jen-Chih Yao, “Locating common fixed points of nonlinear representations of semigroups”, Filomat, 33:1 (2019), 147–161. Get .pdf file

151. Jun Zhang, Ming-Cheng Tsai and Ngai-Ching Wong, “Norm of positive sum preservers of smooth Banach L(μ) spaces”, J. Nonlinear and Convex Analysis, 20:12 (2019), 2613-2621.. Get .pdf file Fixing a gap at p. 7

152. Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang and Ngai-Ching Wong, “Maps between rectangular matrix spaces preserving disjointness, (zero) triple product or norms”, J. Operator Theory, 83:1 (2020), 27-53. Get .pdf file

153. D. R. Sahu, Louyi Shi, Ngai-Ching Wong and Jen-Chih Yao, “Perturbation-resilient methods with an arbitrary pool of nonexpansive mappings and applications”, Optimization, (2020), 70:5-6 (2021), 1047-1083. Get .pdf file

154. Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Facial distances determine normal states of a semi-finite W*-algebras”, Bulletin of London Math Soc., 52:3 (2020), 505-514. Get .pdf file

155. Eskandar Naraghirad, Luoyi Shi and Ngai-Ching Wong, “The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces”, Mathematic, 8:6 (2020), Article 1022; https://doi.org/10.3390/math8061022, Published 22 Jun 2020. Get .pdf file

156. Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “On a variant of Tingley's problem for some function spaces”, J. Math. Anal. Appl., 496:1, (2021), 124800. https://doi.org/10.1016/j.jmaa.2020.124800.

157. Jun Zhang, Ming-Cheng Tsai and Ngai-Ching Wong, “Norm of positive sum preservers of noncommutative L^p(M) spaces”, J. Nonlinear and Convex Analysis, 22:2 (2021), 251-264. http://yokohamapublishers.jp/online2/opjnca/vol22/p251.html Get .pdf file

158. Mikhail Kamenskii, Sergey Kornev, Valeri Obukhovskii, and Ngai-Ching Wong*, “On bounded solutions of semilinear fractional order differential inclusions in Hilbert spaces”, J. Nonlinear and Variational Analysis 5:2 (2021), 251-265. http://jnva.biemdas.com/issues/JNVA2021-2-5.pdf

159. Sergey Kornev, Ekaterina Getmanova, Valeri Obukhovskii and Ngai-Ching Wong*, “On periodic solutions for a class of random differential inclusions”, J. Nonlinear and Convex Analysis 22:8 (2021), 1615-1826. https://shorturl.at/dkpA2

160. Jung-Hui Liu, Lei Li*, Luoyi Shi and Ngai-Ching Wong, The structure of linear zero product and commutativity preservers of C*-algebras, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 115, 194 (2021). https://doi.org/10.1007/s13398-021-01134-z.

161. Bui Ngoc Muoi and Ngai-Ching Wong*, “Bregman nonexpansive type actions of semitopological semigroups”, J. Nonlinear and Convex Analysis 22:4 (2021) 871-885 https://shorturl.at/qsvPX

162. Eskandar Naraghirad, Luoyi Shi* and Ngai-Ching Wong, “Nonlinear evolutionary systems driven by set-valued mixed equilibrium problems with applications”, Numerical Functional Analysis and Optimization, 42 (15) (2021), 1768-1784. https://doi.org/10.1080/01630563.2021.2001752

163. Mikhail Kamenskii, Paul Raynaud de Fitte, Ngai-Ching Wong* and Margarita Zvereva, “A model of deformations of a discontinuous Stieltjes string with a nonlinear boundary condition, ”, J. Nonlinear and Variational Analysis, 5:5 (2021), 737—759. http://jnva.biemdas.com/issues/JNVA2021-5-8.pdf

164. Chi-Kwong Li, Ming-Cheng Tsai*, Ya-Shu Wang and Ngai-Ching Wong, “Additive Hermitian idempotent preservers between operator algebras”, J. Math. Anal. Appl., 505:2 (2022), 125522, https://doi.org/10.1016/j.jmaa.2021.125522.

165. Bui Ngoc Muoi* and Ngai-Ching Wong, “Super asymptotically nonexpansive actions of semitopological semigroups”, Topological Methods in Nonlinear Analysis, 59 (2022), no. 2B, 1047–1067. https://arxiv.org/pdf/2007.00439.pdf

166. King-Fai Lai, Bui Ngoc Muoi, Luoyi Shi and Ngai-Ching Wong*, “Character amenability of ”, Southeast Asian Bulletin of Mathematics, 46 (2022), no. 5, 601–608. https://shorturl.at/ghHLU

167. Yunbai Dong, Lei Li*, Lajos Molnar and Ngai-Ching Wong, “Transformations preserving the norm of means between positive cones in general and commutative C*-algebras”, J. Operator Theory, 88:2 (2022), 365-406. https://arxiv.org/pdf/2104.05909.pdf

168. Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang and Ngai-Ching Wong, “Linear maps preserving matrices annihilated by a fixed polynomial”, Linear Algebra and its Applications, 674 (2023), 46-67. https://arxiv.org/pdf/2302.11170.pdf

169. Lei Li, Ching-Jou Liao, Luoyi Shi, Liguang Wang, and Ngai-Ching Wong*, “Nonlinear disjointness preservers of nonnegative continuous functions”, J. Math. Anal. Appl., 528:1 (2023), 127483 http://dx.doi.org/10.1016/j.jmaa.2023.127483

170. Ching-Jou Liao, Chih-Neng Liu, Jung-Hui Liu and Ngai-Ching Wong*, “Weighted composition operators preserving various Lipschitz constants”, Annals of Mathematical Sciences and Applications, 8:2 (2023), 269-285. https://arxiv.org/pdf/2306.12824.pdf

171. Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang* and Ngai-Ching Wong, “Nonsurjective zero product preservers between matrix spaces over an arbitrary field”, Linear and Multilinear Algebra, https://arxiv.org/pdf/2003.05317.pdf.

172. Huai-Xin Cao, Hong-Yi Chen, Zhi-Hua Guo, Tsung-Lin Lee* and Ngai-Ching Wong, “Convex decompositions of Q-stochastic tensors and Bell locality in a multipartite system”, Advances in Operator Theory, (2024) 9:19, published online https://rdcu.be/dzOhb.

173. Liguang Wang and Ngai-Ching Wong*, “Operational 2-local automorphisms/ derivations”, J. Nonlinear and Convex Analysis, accepted. Get .pdf file

174. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Tingley's problem for positive unit spheres of operator algebras and diametral relations”, Transactions of the American Mathematical Society, accepted. Get .pdf file

175. Liguang Wang and Ngai-Ching Wong*, “The linking von Neumann algebras of W*-TROs”, Annals of Mathematical Sciences and Applications, accepted. Get .pdf file

研討會論文

176. Hwa-Long Gau and Ngai-Ching Wong, “A supplement to James’s Theorem”, Banach Space Theory and its Applications, 1996, 68-70, Wuhan University Press, Wuhan. Get .pdf file

177. Audrey Curnock, John Howroyd and Ngai-Ching Wong, `` The Unique Decomposition Property and the Banach-Stone Theorem'', Contemporary Mathematics, 328 (2003), 151-156. Get .pdf file

178. Wan-Chain Fang and Ngai-Ching Wong*, “Disjointness preserving linear operators of Wiener ring”, in Proceedings of the 6th Taiwan-Philippine Symposium on Analysis, 2005. Get .pdf file

179. Ngai-Ching Wong, “Zero product preservers of C*-algebras”, Contemporary Math., 435 (2007), 377-380. Get .pdf file

180. Ngai-Ching Wong, “Triangle of operators, topology, bornology”, in the Proceedings of the 3rd International Congress of Chinese Mathematicans (2004 ),395-421, AMS/IP, Studies in Advanced Math. 42, 2008. Get .pdf file

181. Ngai-Ching Wong*, “Operator ideals arising from generating sequences”, in Proceedings of International Conference on Algebra 2010, 673–689, World Sci. Publ., Hackensack, NJ, 2012. (The International Conference on Algebra in honor of the 70th birthday of Professor Shum Kar Ping was held by Universitas Gadjah Mada in Yogyakarta, Indonesia on October 7-10, 2010.) Get .pdf file

182. Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive point and mean convergence theorems for new generalized nonspreading mappings in Banach spaces”, Contemporary Mathematics, in press.. Get .pdf file

183. Ngai-Ching Wong*, “The Topological and Bornological Approaches in Locally Convex Spaces”, in the Proceedings of the10th Taiwan-Philippines Symposium on Analysis 2014, 214-226, in press. (NSYSU). Get .pdf file

184. Chi-Keung Ng and Ngai-Ching Wong, “A Murray-von Neumann type classification of C*-algebras”, Operator Theory: Advances and Applications, vol. 250, 369–395, Springer International Publ., 2015. (This issue consists of the Proceedings of the conference celebrating the 60th birthday of C.J.K. Batty: "Operator semigroups meet complex analysis, harmonic analysis and mathematical physics", 2013, Edited by W. Arendt, R. Chill and Y. Tomilov.) (NSYSU) Get .pdf file

185. Bui Ngoc Muoi and Ngai-Ching Wong*, “Super asymptotically nonexpansive actions of semitopological semigroups on Fréchet and locally convex spaces”, in the Proceedings of the International Conference on Nonlinear Analysis and convex Analysis & International Conference on Optimization: Techniques and Applications -II (Hakodate Japan 2019), 53-71.

待發表論文

186. Man-Chung Ng and Ngai-Ching Wong, “The no trade principle and the characterization of compact beliefs”, preprint.

187. Audrey Curnock, John Howroyd and Ngai-Ching Wong, ``Isometries of affine function spaces'', preprint.

188. Lu-Chuan Ceng, Ngai-Ching Wong and Jen-Chih Yao, “Hybrid Steepest-Descent Viscosity Methods for Generalized Mixed Equilibria, Variational Inclusions and Common Fixed Point Problems”, preprint.

189. Dijana Iliševié, Chih-Neng Liu and Ngai-Ching Wong, “Generalized -circular projections and isometries on continuous functions with finite spectrum”, preprint.

190. Denny Leung, Ya-Shu Wang and Ngai-Ching Wong, “Isometries between spaces of vector-valued continuous functions”, preprint.

191. Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, “A note on Radon measures on Hausdorff spaces”, preprint.

192. Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang and Ngai-Ching Wong, “Linear preservers of norm parallelism between matrix and operator spaces”, preprint.

193. Luoyi Shi, Yao-Te Huang, Ching-Jou Liao and Ngai-Ching Wong, “Linear angle preservers of Hilbert C*-modules”, preprint.

194. Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Order type Tingley's problem for operator algebras and the diametral relation”, preprint.

五) 主編之論文集和教科書：

1. “Proceedings of the International Mathematics Conference '94”, World Scientific, Singapore, 1996. (Co-edited by Y. Fong, W.J. Huang, Y.J. Lee and N.C. Wong.)

2. “Proceedings of the NCTS Workshop on Functional Analysis 2004”, as a special issue of the Taiwanese J. Math., 2006. (Co-edited by S.Y. Shaw, M.H. Shih, N.C. Wong and J.C. Yao.)

3. “Preserver Problems on Function Spaces, Operator Algebras, and Related Topics”, as a special issue of Abstract and Applied Analysis, 2014 (Co-edited by Antonio M. Peralta, Chi-Keung Ng, Ngai-Ching Wong, and Jen-Chih Yao).

4. “Recent Development in Fixed-Point Theory, Optimization, and Their Applications”, as a special issue of Abstract and Applied Analysis, 2014 (Co-edited by Jinlu Li, Chong Li, Ngai-Ching Wong, and Jen-Chih Yao).

5. “微積分”, 黃毅青著, 滄海圖書, 2015.8 初版, ISBN 978-986-5647-21-6; 2018.9 第二版, ISBN 978-986-96593-6-9. 下載勘誤表.

6. “數學分析” （上、下冊）, 石洛宜、黃毅青編著, 科學出版社, ISBN：9787030669032 , 2020.12, 第一版.

7. “An introduction to functional analysis”, Lei Li and Ngai-Ching Wong, Science Publishing Corp. (科學出版社), to appear.

8. “Structure of Radon Measures on Hausdorff Spaces”, Chi-Keung Ng, Chi-Wai Leuang and Ngai-Ching Wong, World Scientific Publishing Company, to appear.

六) 主辦之學術研討會 (作為 organizer or chairman of organizing committee)

1. Seminars in Functional Analysis 1993 (與蕭勝彥、施茂祥合辦)，在1993年分別於中山大學、中央大學 (3月15日) 和中原大學 (6月3-4日) 舉辦了三次研討會，約共有40多場學術演講。

2. International Conference in Mathematical Analysis and its Applications 2000, (與林伯祿 Borluh Lin 合辦)，在2000年元月17至21日於中山大學舉辦大型國際研討會，約共有130多場學術演講；其中海外與會人士超過一百人。

3. Seminars in Analysis and Fractals, 分別於中山大學 (2000年11月11日、12月23日及2001年3月3日)、中研院 (2001年6月2日) 和台灣師範大學 (2001年11月3日)，共舉辦了五次研討會，進行了21場學術演講。

4. Seminars in Functional Analysis, 分別於中山大學 (2001年9月19日、12月29日) 和台灣師範大學 (2001年10月27日)，共舉辦了三次研討會，進行了16場學術演講。

5. Workshop on Pure and Applied Mathmatics 2001 (與吳培元合辦), 在2001年12月14至15日於交通大學國家理論科學中心舉辦了小型國際研討會，約共有17場學術演講。

6. Seminars in Analysis and its Applications 2002, 分別於成功大學 (2002年3月23日)、彰化師範大學 (2002年5月11日)、中山大學 (2000年6月22日)、中央大學 (2002年10月5至6日) 和中研院 (2002年12月14至15日)，共舉辦了五次研討會，進行了29場學術演講。

7. Seminars in Analysis and its Applications 2003 (與何宗軒合辦), 將分別於東華大學 (2003年3月15至16日)、中央大學 (預計2003年6月) 和中山大學 (預計2003年10月)，共舉辦三次研討會。

8. NCTS Workshop on Functional Analysis 泛函分析研討會 2004, 在 Dec. 25-28, 2004 於中山大學舉辦了小型國際研討會，約共有30 場學術演講。

9. NCTS Workshop on Analysis 分析研討會 2006, 在 Jan. 14, 2006 於東華大學舉辦了小型研討會，約共有10 場學術演講。

10. Workshop on Jordan structures in analysis and geometry 分析和幾何學中的約當結構研討會 2006, 在 April 3-7, 2006 於中山大學舉辦了中型國際研討會，約共有41 場學術演講；其中海外與會人士30多人。

11. Workshop on Matrices and Operators 矩陣與算子研討會 2009, 在 July 3-4, 2009 於中山大學舉辦了小型國際研討會，約共有25 場學術演講；其中海外與會人士20多人。

12. Abstract Harmonic Analysis 抽象調和分析研討會 2009,在 Dec. 18-22, 2010, 於中山大學舉辦了中型國際研討會，約共有47 場學術演講；其中海外與會人士50多人。

13. NCTS Colloquium on Jordan theory and analysis約當理論與分析學研討會2010, 在 April 8-12, 2010 於新竹理論科學中心舉辦了中型國際研討會，約共有25 場學術演講；其中海外與會人士10多人。

14. The Eleventh Workshop on Numerical Ranges and Numerical Radii 第十一屆國際數值域及數值半徑研討會 2012 在 July 9-12, 2012, 於中山大學舉辦了中型國際研討會，約共有50 場學術演講；其中海外與會人士約50多人。

15. Events of Functional Analysts at NSYSU中山泛函分析研討會 2016, Kaohsiung, Taiwan, May 19-20, 2016. 於中山大學舉辦的小型國際研討會，共有9 場學術演講；講者中有匈牙利學者5人, 大陸、星加坡和台灣學者各一人。

16. Mini-Workshop on Functional and Harmonic Analysts at NSYSU中山泛函及調和分析研討會 2016, Kaohsiung, Taiwan, Oct. 13, 2016. 於中山大學舉辦的小型國際研討會，共有5 場學術演講；講者中有大陸和台灣學者各2人, 法國學者一人。

17. Abstract Harmonic Analysis 2018抽象調和分析研討會 2018, Kaohsiung, Taiwan, June 25-29, 2018 (pending) , 將於中山大學舉辦的中型國際研討會，預計海外與會人士約50人。.

七) 會議演講

(A) 國外會議

1. “Locally convex spaces from the view point of operator ideals”, Midwest and Wabash Joint Extramural Modern Analysis Mini-Conference, Indiana University-Purdue University at Indianapolis, Indiana, U.S.A., April 12-13, 1991.

2. “A non-commutative Tietze extension theorem”, Conference on Geometric Analysis for the Pacific Rim, The Chinese University of Hong Kong, Hong Kong, Dec. 15-19, 1992.

3. “A supplement to James' Theorem”, International Conference on Banach Space Theory, Wuhan University, Wuhan, China, April 5-12, 1994.

4. “Some Banach-Stone type theorems for abelian and non-abelian C*-algebras”, Banach Algebras ‘95, University of Newcastle, Newcastle upon Type, United Kingdom, July 18-27, 1995

5. “Yau-Chuen Wong's works on the theory of operator ideals”, International Symposium of Functional Analysis and Related Topics, The Chinese University of Hong Kong-University of Hong Kong-City University of Hong Kong, Hong Kong, Dec. 14-18, 1995.

6. “The commutant and the double commutant of a C*-algebra in its left regular representation”, International Coference on Functional Analysis and Global Analysis, University of Philippines, Diliman, Manila, Philippines, Oct. 20-26, 1996.

7. “Supplements to results of Shultz and Brown”, International Conference on Operator Algebras and Operator Theory, East China Normal University, Shanghai, China, July 4-9, 1997.

8. “The triangle of operators, topologies and bornlolgies,” Geometric Aspects of Fourier and Functional Analysis, Christian-Albrechts-University of Kiel, Germany, Aug. 10-14, 1998.

9. “On the Banach-Stone problem,” The 2nd Mathematical Conference between two straits, Peking University, Beijing, Nov. 15-21, 1998.

10. “Tree structure associated to shift operators on continuous function spaces”, Workshop in algebra and discrete mathematics, The Chinese University of Hong Kong, Hong Kong, Mar. 27-31, 2000.

11. “Operators on the left quotient of a C*-algebra”, The 18th Conference on Operator Theory, The University of the West in Timisoara, Romania, June 27 - July 1, 2000.

12. “Unbounded disjointness preserving linear functionals of C0(X)”, Wabash Analysis Mini-Conference, Indiana University-Purdue University at Indianapolis, Indianapolis, Indiana, USA, Oct. 14-15, 2000.

13. “Disjointness preserving Fredholm linear operators of C0(X)”, First AMS-HKMS Meeting, Hong Kong Baptist University, Hong Kong, December 13-16, 2000.

14. “Isometries between C*-algebras”, 2001 AMS Spring Central Meeting at Lawrence, Kansas, University of Kansas, March 30-31, 2001.

15. “Disjointness preserving shifts on continuous function spaces”, 4th Conference in Function Spaces, Southearn Illinois University at Edwardsville, , Edwardsville, Illinois, USA, May 14-19, 2002.

16. “Shift operators on continuous function spaces”, Concentration Week on Frames, Wavelets and Operator Thoery, Workshop in Linear Analysis and Probability, Texas A&M University, College Station, Texas, USA, July 15-20, 2002.

17. “Zero product preservers of operator algebras”, Operator Algebras and Applications, Satellite Conference of ICM 2002, Chengde, China, August 14-18, 2002.

18. “Non-surjective isometries of C*-algebras”, Internatioal Congress of Mathematicians 2002, Beijing, China, August 20-28, 2002.

19. “Mappings between operator algebras preserving Jordan structures”, Joint AMS-MAA meeting at Baltimore, Maryland, USA, January 15-18, 2003.

20. “Local automorphisms of operator algebras”, Banach Algebras 2003, Edmonton, Canada, July 28-August 9, 2003.

21. “Local automorphisms of operator algebras”, Workshop in Linear Preserver Problems, University of Hong Kong, Hong Kong, July 2-3, 2004.

22. “A converse of the strong separation theorem -- A supplement to James' Theorem”, International Workshop on Nonlinear Analysis and Convex Analysis , Kyoto, Japan, Spetember 6-8, 2004.

23. “Disjointness preserving operators of C*-algebras”, 3rd International Congress of Chinese Mathematicians, Chinese University of Hong Kong, Dec. 17-22, 2004.

24. “Triple homomorphisms of C*-algebras”, Workshop on Preserver Problems, University of Hong Kong, Hong Kong, May 5-7, 2005.

25. “The triangle of operators, topologies and bornologies”, The First International Operator Algebra and Operator Theory Symposium in China, Shaanxi Normal University, Xi'an, China, July 22-26, 2005.

26. “Compact disjointness preserving operators”, The fifth Conference on Function Spaces”, Southern Illinois University at Edwardsville, Edwardsville, USA, May 15-20, 2006.

27. “Zero product preservers and Jordan homomorphisms”, International Conference on Operator Theory and Applications”, Chinese University of Science and Technology, Huang Shan City, Anhui, China, July 11- 15, 2006.

28. “Conditions ensuring maps of standard operator algebras being automorphisms”, Workshop on Matrices and Operators, University of Hong Kong, Hong Kong, April 13-14, 2007.

29. “Invertibility of linear sums of k-potents and nilpotents”, Workshop on Matrices and Operators, University of Hong Kong, Hong Kong, July 13-14, 2007.

30. “Disjointness preserving maps of C*-algebras and group C*-algebras”, Abstract Harmonic Analysis 2007, Chinese University of Hong Kong, Dec. 17-21, 2007.

31. “Disjointness preserving maps of C*-algebras”, 9th International Pure Mathematics Conference 2008, Islamabad, Pakistan, August 22-24, 2008.

32. “Disjointness preserving maps of C*-algebras”, Workshop in Jordan structures in analysis and operator theory, Granada, Spain, Nov. 13-15, 2008.

33. “Disjointness preserving maps of C*-algebras”, Canadian Abstract Harmonic Analysis Symposium 2009 (Laufest), Edmonton, Alberta, Canada, May 11-15, 2009.

34. “Disjointness preserving maps of C*-algebras”, The 5th Asian Mathematics Conference, Kuala Lumpur, Malaysia, June 22-26, 2009.

35. “Linear disjointness preservers of W*-algebras”, The 5th Conference on ‘Matrices and Operators’, Taiyuan, China, July 13-14, 2010.

36. “Linear disjointness preservers of W*-algebras”, Operator algebras and related topics, Beijing, China, July 23-27, 2010.

37. “Kaplansky type theorems for completely regular spaces”, International Conference on Algebra, Jogyakarter, Indonesia, Oct. 7-10, 2010.

38. “Linear orthogonality preservers of Hilbert C*-modules”, 5th Workshop of Matrices and Operators, Chengdu, China, July 8-12, 2011.

39. “Kaplansky type theorems for completely regular spaces”, 9th Taiwan-Philippines Symposium on Analysis, Cebu, Philippines, Oct. 24-26, 2011.

40. “A Murray-von Neumann type classification of C*-algebras”, International Conference on Jordan Theory, Analysis and Related Topics, Hong Kong, April 30 – May 4, 2012.

41. “Linear preservers of operator algebras”, International Conference on Mathematics and Statistics, Memphis, TN, USA, May 15-18, 2012.

42. “Compact disjointness preserving operators”, The 7^th International Workshop on Matrices and Operators, Harbin, China, July 13-16, 2012.

43. “Compact disjointness preserving operators”, Joint Mathematical Workshop of Xiamen University-Tongli University-National Sun Yat-sen Uinversity, Xiamen, China, August 30, 2012.

44. “Linear orthogonality preservers of Hilbert C*-modules”, Conference on Operator Algebras and Applications, Nanjing, China, June 20-23, 2013.

45. “Zero products and norm preserving orthogonally additive homogeneous polynomials on C*-algebras”, The Second Pacific Rim Mathematical Association Congress, Shanghai, China, June 24-28, 2013.

46. “Kaplansky Theorems for completely regular spaces”, Mini-Workshop on Applied Analysis, Fudan University, Shanghai, China, June 26, 2013.

47. “Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups”, Workshop on Orthognality Preservers on C*-algebras and Jordan Strcutures, Granada, Spain, July 2-4, 2013.

48. “Zero products and norm preserving orthogonally additive homogeneous polynomials on C*-algebras”, Mini-Workshop on preserver problems and applications in Quantum information, Tsinghua University, Beijing, China, July 14, 2013.

49. “Kaplansky Theorem for completely regular spaces”, 2013 Workshop on Matrices and Operators, Beijing Normal University, Beijing, China, July 15-18, 2013,

50. “Zero products and norm preserving orthogonally additive homogeneous polynomials on C*-algebras”, International Conference on Analytic Mathematics and its Applications (ICAMA’2013), Tianjin, China, Aug. 1-4, 2013.

51. “Orthogonally additive and zero product preserving holomorphic maps”, The Seventh Conference on Functions Spaces, Edwardsville, Illinois, USA, May 20-24, 2014.

52. “Isometries of real Hilbert C*-modules”, Workshop on Operator Spaces, Locally Compact Quantum Groups and Amenability, Fields Institute, Toronto, Canada, May 26-30, 2014.

53. “Isometries of real Hilbert C*-modules”, Conference on "Operator Algebras and Mathematical Physics", Dalian, China, June 13-18, 2014.

54. “Orthogonally additive and zero product preserving holomorphic maps”, 2014 Workshop on “Matrices and Operators” (MaO2014), Haihou, Hainan, China, July 24-27, 2014.

55. “Maps preserving Schatten p-norms of convex combinations”, The 12th Workshop on “Numerical Ranges and Numerical Radii”(WORNA2014), held at Tsinghua Sanya International Mathematics Forum, Sanya, Hainan, China, July 28 - August 1, 2014.

56. “Orthogonally additive and zero product preserving holomorphic maps of matrices”, ILAS conference 2014 - Symposium on Linear Preserver Problems, Seoul, Korea, August 6-9, 2014.

57. “Classifying C*-algebras into three types”, Autumn Program of Operator Algebras, 2014, East China Normal University, Shanghai, China, Oct. 27-31, 2014.

58. “Transition probabilities preserving maps”, Operator Algebra and Harmonic Analysis, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, May 19-23, 2015.

59. “Preconditioning random Toeplitz systems”, 2015 Workshop on Matrices and Operators, Shaanxi Normal University, Xian, China, July 19-21, 2015.

60. “On a notion of closeness of groups”, Workshop on Analysis and its Applications”, Hangzhou Electronic University, Hangzhou, China, Dec. 14, 2015.

61. “Linear orthogonality preservers of standard operator algebras”, 2016 Shanghai International Workshop on Matrix Inequalities and Matrix Equations (MIME2016), Shanghai University, Shanghai, China, June 8-10, 2016.

62. “Linear disjointness preservers of operator algebras”, Special Week on Operator Algebras, Research Center for Operator Algebras, East China Normal University, Shanghai, China, June 6-10, 2016.

63. “Shift operators of continuous functions”, The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, July 1 - July 5, 2016.

64. “Isometries of real Hilbert C*-modules”, Conference on Operator Algebras, Qufu, China, August 17-18, 2016.

65. “Maps on Noncommutative Lp Spaces”, Special Week on Operator Algebras, Research Center for Operator Algebras, East China Normal University, Shanghai, China June 5-9, 2017.

66. “Quantum information theory and preserver problems”, 2017 International Conference on Matrix Inequalities and Matrix Equations (MIME2017), Shanghai University, Shanghai, China, June 6-8, 2017.

67. “Generalized circular projections”, 2017 Workshop on “Matrices and Operators” (MaO2017), Changsha, Hunan, China, June 9-12, 2017.

68. “Disjointness preservers of operator algebras and related topics”, Preservers Everywhere, Bolyai Institute, University of Szeged, Szeged, Hungary, June 19-23, 2017.

69. “Locating common fixed points of a nonlinear representation of semigroup”, Second Taiwan-Russia Symposium on Optimization and Optimal Control, Voronezh, Russia, November 13-16, 2017.

70. “The geometry of convex combinations of positive elements determines a noncommutative Lp space”, Operator Algebra and Harmonic Analysis 2017, Sanya, China, December 18-22, 2017.

71. “Sums of orthomorphisms of continuous functions.”, Workshop on Fractal Geometry and Related Topics, The Chinese University of Hong Kong,Hong Kong, May 4-5, 2018.

72. “Random Toeplitz Operators and eigenvalue distribution”, 2018 International Conference on Matrix Inequalities and Matrix Equations (MIME2018), Shanghai University, Shanghai, China, June 8-10, 2018.

73. “Linear Disjointness preservers of AW*-algebras”, 2018 International Workshop on Matrices and Operators (MaO2018), Shanghai University, Shanghai, China, July 15-18, 2018.

74. “Murray-von Neumann type classifications of C*-algebras”, 2019 CUHK Mathematics Alumni International Conference, The Chinese University of Hong Kong, June 5-7, 2019.

75. “Zero product preservers and homo- morphisms between matrix algebras”, The 5th International Conference on Matrix Inequalities and Matrix Equations (MIME2019), Guilin University of Electronic Technology, June 7-10, 2019.

76. “Normal states are determined by their facial distances”, The 8th International Congress of Chinese Mathematicians (ICCM 2019), Beijing, June 8-14, 2019.

(B) 國內會議

1. “Applications of operator ideals to operator algebras”, Annual meeting of the Mathematics Society of Republic of China, National Cheng Kung University, Tainan, Taiwan, Dec. 4-5, 1992.

2. “On a function space like representation of C*-algebras”, Workshop on Functional Analysis (II), National Central University, Chung-Li, Taiwan, Mar. 25, 1994.

3. “On non-commutative Stone-Weierstrass theorems”, Workshop on Functional Analysis (III), Chung Yuan Christian University, Chung-Li, Taiwan, Jun. 3-4, 1994.

4. “Some of Yau-Chuen Wong's works on the theory of operator ideals”, International Mathematics Conference '94, National Sun Yat-sen University, Kaohsiung, Taiwan, Dec. 2-5, 1994.

5. “The triangle of operators, topologies and bornologies”, The First Mathematics Seminars Between the Two Sides of the Strait, Tamkang University, Taipei, Taiwan, June 6-7, 1995.

6. “Point realization of σ-additive set-valued functions”, Workshop on KKM Theory and Its Related Problems, National Chenghua University of Education, Chenghua, Taiwan, May 15-16, 1996.

7. “A very elementary approach to the second dual space of C0(X)”, Workshop on Applied Mathematical Analysis, Kaohsiung Polytechnic Institute, Kaohsiung, Taiwan, June 28-29, 1996.

8. “Duality theory of locally convex spaces made easy!?”, International Mathematics Conference '96, National Chenghua University of Education, Chenghua, Taiwan, Dec. 13-16, 1996.

9. “Invertibility of infinite-dimensional space”, Sino-Philippines Workshop on Analysis, National Tsing-Hua University, Hsinchu, Taiwan, June 2-4, 1997.

10. “Into isometries of C0(X, E),” Seminars in Analysis and Probability '98, , Nov. 23-27 1998.

11. “Unbounded disjointness preserving linear functionals of C0(X)”, The third mathematical conference of two straights, Tamkang University, November 14-16, 2000.

12. “Isometric n-shifts on C0(X)”, International Conference of Mathematics and Statistics 2000, Tamkang University, December 8-10, 2000.

13. “Which operators between C*-algebras preserve Jordan structures”, Workshop in Pure and Applied Functional Analaysis, National Center for Theoretical Sciences-National Chiao-Tung University, December 14-15, 2001.

14. “Sum of angles of star polygons”, 2002 International Conference on Graph Theory and Combinatorics, Academia Sinica, Taipei, June 15-19, 2002.

15. “A continuous selection theorem”, Nonlinear analysis and optimization, Academia Sinica, Taipei, and Chung Yuan University, Chungli, June 28-29, 2002.

16. “Into isometries of C*-algebras”, 2002 International Mathematics Conference and Annual Meeting of Mathematical Society of ROC, Feng Chia University, Taichung, December 6-8, 2002.

17. “A continuous selection theorem”, Conference of Applied Mathematics 2003, Airforce Academy, Kaohsiung, April 18, 2003.

18. “Operator preserving Jordan structure of operator algebras”, 2004 Annual Meeting of Math. Soc. of ROC, National Taiwan University, Dec. 3-5, 2004.

19. “Disjointness preserving operators of C*-algebras”, International Conference on non-linear analysis and optimization, Chung Yuan Christian University, September 29-October 2, 2005.

20. “Zero product preservers of operator algebras”, Sixth Taiwan-Philippine Symposium on Analysis, National Sun Yat-sen University, Oct. 22-24, 2005.

21. “The no trade principle in general environments － a functional analysis approach”, The International Conference on Applied Mathematics, , December 3-5, 2005.

22. “Local automorphism of operator algebras”, 2006 Workshop on Differential Equations and Mathematical Analysis, Academia Sinica, January 6-8, 2006.

23. “Disjointness preservers and Jordan homomorphisms”, 2006, Workshop on Jordan structures in analysis and geometry, Natoinal Sun Yat-sen University, April 3-7, 2006.

24. “Geometric pre-ordering on C*-algebras”, 2007, Workshop on Analysis, National Taidong University, Jan. 22-23, 2007.

25. “A selection theorem and a fixed point theorem”, 2007, The fifth International Conference on Nonlinear Analysis and Convex Analysis, National Tsing Hwa University, May 31-June 4, 2007.

26. “Conditions ensuring maps of standard operator algebras being automorphisms”, The fifth Cross-straits Conference in Mathematics, Tamkang University, June 26-27, 2007.

27. “Disjointness preserving maps of C*-algebras and group C*-algebras”, The Analysis-Differential Equation Conference, Hsuan Chuang University, March 28-29, 2008.

28. “Disjointness preserving maps of C*-algebras”, Workshop in Analysis 2008, National Central University, October 25, 2008.

29. “Conditions ensuring maps of standard operator algebras being automorphisms”, 2008 Nonlinear Analysis Workshop, National Kaohsiung Normal University, Nov. 21, 2008.

30. “Conditions ensuring maps of standard operator algebras being automorphisms”, 2009 Annual Meeting of Math. Soc. of ROC, National Tsinghua University, Dec. 19-21, 2008.

31. “Disjointness preserving maps of C*-algebras”, Workshop on Theory and Applications of Mathematical Analysis, National Taiwan University, October 21-22, 2009.

32. “Disjointness preserving maps of W*-algebras”, NCTS Colloquium: Jordan Theory and Analysis, NCTS Office at Tsinghua University, Tsinchu, April 8-12, 2010.

33. “Triangle of operators, topologies, bornologies”, Workshop in Probability and Analysis, Academic Sinica, Taipei, August 10-12, 2010.

34. “Kaplansky type theorems for completely regular spaces”, 2010 Workshop on Nonlinear Functional Analysis and its Applications, National Kaohsiung Normal University, November 2, 2010.

35. “Rank preserving in integral extensions of commutative C*-algebras”, NSYSU-CUHK joint Workshop in Modern Mathematics, National Sun Yat-sen University, December 30, 2010 – Jan. 3, 2011.

36. “Linear orthogonality preservers of Hilbert C*-modules”, Annual Meeting of Taiwan Mathematical Society, Chung Yuan University, Chung-Li, Taiwan, Dec. 9-11, 2011.

37. “Kaplansky type theorems for completely regular spaces”, 2011 Workshop On Nonlinear Analysis And Optimization Theory, Method And Applications, National Tsing-Hwa University, Hsinchu, Taiwan, Dec.11-12, 2011.

38. “The triangle of topology, bornology and operators”, 2012 Workshop on Mathematical Analysis, National Changhua University of Education, Changhua, Jan. 6, 2012.

39. “On a notion of closeness of groups”, 2012, Annual Meeting of Taiwan Mathematical Society, National Chia-Tung University, Hsinchu, Taiwan, Dec. 7-9, 2012.

40. “Classifying C*-algebras into types”, 2013, Analysis Seminars, National Central University, Chung-Li, Taiwan, November 30-31, 2013.

41. “Random Toeplitz Operators and Eigenvalue Distribution”, International Workshop on Nonlinear and Variational Analysis 2014, Kaohsiung Medical University, Kaohsiung, Taiwan, August 1-3, 2014

42. “Random Toeplitz Operators and Eigenvalue Distribution”, Workshop on Matrix Analysis and Applications, Soochow University, Taipei, Taiwan, November 22, 2014.

43. “Weak Sequential Completeness of Spaces of Homogeneous Polynomials”, One Day Workshop on Nonlinear Analysis, Combinatorial Analysis, and Matrix Analysis, National Taiwan Normal University, Taipei, Taiwan, January 14, 2015.

44. “Preconditioning random Toeplitz systems”, International Workshop on Applied Analysis and Optimization 2015, Research Center for Interneural Computing, China Medical University, Taichung, Taiwan, June 26-28, 2015.

45. “Preconditioning random Toeplitz systems”, International Workshop on Nonlinear and Variational Analysis (IWNVA2015), Kaohsiung Medical University, Kaohsiung, Taiwan, August 7-9, 2015.

46. “Transition probabilities preserving maps”, The 4th International Congress on Natural Sciences, National Changhua University of Education, Changhua, Taiwan, September 10-12, 2015.

47. “Sums of orthomorphisms of continuous functions”, 2016 Analysis Young Scholars Symposium, National Central University, May 6, 2016.

48. “Sums of orthomorphisms of continuous functions”, International Workshop on Applied Analysis and Optimization (IWAAO) 2016, China Medical University, Taichung, May 27-29, 2016.

49. “Shift Operators on Continuous Functions”, 2016 Workshop on Functional Analysis, Optimization and Their Applications, National Kaohsiung Normal University, Kaohsiung, November 28-29, 2016.

50. “Murray-von Neumann type classifications of C*-algebras”, Annual Meeting of Math. Soc. of ROC, National Donghua University, Dec. 10-11, 2016.

51. “Quantum information theory and preserver problems”, International Workshop on Applied Analysis and Optimization (IWAAO) 2017, China Medical University, Taichung, May 26-27, 2017.

52. “Locating common fixed points of a nonlinear representation of semigroup”, 2017 Optimization Workshop, National Normal University, Taipei, November 1, 2017.

53. “The no trade principle and the characterization of compact beliefs”, Annual Meeting of Math. Soc. of ROC, National Taiwan Normal University, Dec. 8-9, 2018.

54. “Metric semigroups of norm one positive functions determine locally compact groups”, International Workshop on Geometric and Harmonic Analysis, NCTS, Taipei, May. 27-31, 2019.

八) 曾經開授之課程及指導研究生

大一微積分、微分方程、數學導論、高等微積分、線性代數、拓樸學、代數學、高等線性代數、複變函數論、碎形幾何學、向量分析、作業研究、科學史(數學史部份)、管理數學（夜）、實變函數論（研）、複變函數論（研）、拓樸學（研）、微分幾何學（研）、應用泛涵分析（研）、泛涵分析（研）、算子理論（研）、算子代數導論（研）、分析專題（研）、拓樸學專題（研）、算子代數專題研究（研）、泛涵分析專題研究（研）、泛涵分析理論與應用專題研究（研）、代數拓樸學專題研究（研）、非線性分析(研)。

碩士班： 22人， 博士班：14人， 博士後研究員: 18人。

九) 負責創辦之推廣教育課程

1. 『高雄區高中數學學習成績優異學生輔導實驗計畫』(中山大學數學資優班)，1993年獨立開辦。

2. 『中等學校教師在職進修數學科第二專長學士學分班』，1998年開辦。

3. 『港仔語社』，高雄縣鳳山市正義中學社團活動義務教師，2007年2月至6月。