黃毅青

(Ngai-Ching WONG)

泛涵分析、算子代數

 

 

國立中山大學應用數學系

高雄市西子灣蓮海路70

電話:   (辦)      07-52520003818

            (傳真)  07-5253809      

           


1962年生

廣東海豐人        巳婚有一女一子

Email: wong@math.nsysu.edu.tw

 

修訂日期:200978

 

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副教授(19918月至19971月)、教授(19972月至今)、系主任 20038月至20067月)

  國立中山大學非線性分析及優化理論研究中心計畫主持人 20073月至今)

  國立中山大學計算機及網路中心作業組組長 (200210月至20037)

  香港中文大學數學系訪問學者(20077月至200712)

英國倫敦大學 Goldsmiths’ College 訪問學者 (1999.7 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 (19861987)

 

)                 歷年獲獎資料

 

1991-2000   國科會甲等研究獎助 (該獎助自2001年起停辦)

1993           國立中山大學理學院新人研究獎。

1996         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          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,並永久另掛一面於〔中山名人牆〕上。

2002-2006   國科會甲種研究計畫主持人費 (該獎助自2002年起開辦)

2004           受華人數學家大會 ICCM 2004邀請發表45分鐘演講。

2006           國立中山大學研究績優獎。

2007年                            國立中山大學教學研究獎勵。

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

 

 

)                 論文發表之質與量自評

 

黃毅青近六年 (2001- ) 共發表了 36 篇學術,其中 28 篇為 SCI 期刊論文;另待發表論文有15篇。在其研究領域泛函分析學中,已達國際水準,並多次獲重要國際研討會邀請作演講。特別在Banach-Stone 問題和 C*-代數間的保距和保斥映射方面,有所突破,為國際數學界所重視。

1.   黃毅青近年較好的研究成果是與倫敦大學朱礎豪教授合作了以下論文:

“Isometries between C*-algebras”, Revista Matematica Iberoamericana, 20 (2004), no. 1, 87--105.

其中我們對C*-代數間的非滿保距線性影射給出了一完整刻劃——基本上這些都是保持約當三重積 (Jordan triple products) 的算子,從而可以與無窮維的卡當域 (Cartan domain) C*-代數單位球面的切向量場理論聯繫起來。因此可以視之為著名的 Kadison 定理 (討論滿射的情形) 的一個幾何推廣。我們這個結果在同行中已廣為流傳。在Fleming Jamison新近出版的專著 Isometries on Banach spaces: function spaces (Chapman & Hall/CRC) 中,就有專門的一節討論我們這個結果。 Zentralblatt MATH中,評論員 T.S.S.R.K.Rao “In this important paper, the authors describe into-isometries between C*-algebras.” (Zbl 1057.46009),並且給予不錯的評價。

 

2.   在以上提到的Fleming Jamison同一書中,亦有多處提及和應用黃毅青最近有關Banach-Stone problem 所獲得的成果,並且給予不錯的評價。

 

3.  黃毅青近年主辦了多次的國際性數學會議 (作為 organizer or chairman of  the organizing committee)

 

 

)           學術期刊論文 (* 表示通訊作者)

 

1.                 Yau-Chuen Wong* and Ngai-Ching Wong, “Topologies and bornologies determined by operator ideals”, Math. Ann., vol. 282  (1988), 587-614. (SCI, , JCR(2004) IF:0.790, 29/181 (Math))

2.                 Ngai-Ching Wong* and Yau-Chuen Wong, “The bornologically surjective hull of an operator ideals on locally convex spaces”, Math. Narch., vol. 160 (1993), 265-275. (NSYSU, SCI, JCR(2004) IF:0.434, 85/181 (Math))

3.                 Ngai-Ching Wong*, “Topologies and bornologies determined by operator ideals, II”, Studia Math., vol. 111, no. 2 (1994), 153-162. (NSYSU, SCI, JCR(2004) IF:0.527, 63/181 (Math))

4.                 Ngai-Ching Wong*, “Left quotients of a C*-algebra, I: Representation via vector sections”, J. Operator Theory, vol. 32 (1994), 185-201. (NSYSU, SCIE , JCR(2004) IF:0.490, 68/181 (Math))

5.                 Hwa-Long Gau and Ngai-Ching Wong*, “Some converses of the strong separation theorem”, Proc. Amer. Math. Soc., vol. 124 (1996), 2443-2449. (NSYSU, SCI, JCR(2004) IF:0.508, 66/181 (Math))

6.                 Jyh-Shyang Jeang and Ngai-Ching Wong*, “Weighted composition operators of C0(X)'s”, J. Math. Anal. Appl., vol. 201 (1996), 981-993. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

7.                 Jyh-Shyang Jeang and Ngai-Ching Wong*, “Into isometries between C0(X,E)'s”, J.  Math.  Anal.  Appl., vol. 207 (1997), 286-290. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

8.                 Nan-Kuo Ho and Ngai-Ching Wong*, “Space-filling curves and Hausdorff dimensions”, Southeast Asian Bulletin of Math, vol. 21 (1997), 105-111. (NSYSU)

9.                 Q. H. Ansari, Ngai-Ching Wong and Jen-Chih Yao*, “On the existence of nonlinear inequalities'',  Appl. Math. Letters, vol. 12 (1999), 89-92. (NSYSU, SCI, JCR(2004) IF:0.414, 118/162 (Applied Math))

10.            Chia-Chuan Tseng and Ngai-Ching Wong*, “Invertibility in infinite dimensional spaces”, Proc. of Amer. Math. Soc., vol. 128 (2000), 573-581. (NSYSU, SCI, JCR(2004) IF:0.508, 66/181 (Math))

11.            Lawrence G. Brown and Ngai-Ching Wong*, “Left quotients of a C*-algebra, II: Continuity on extreme boundary”, J. of Operator Theory, vol. 44 (2000), 207-222. (NSYSU, SCIE , JCR(2004) IF:0.490, 68/181 (Math)) (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math))

13.            Juh-Yin Chen, Ngai-Ching Wong and Jen-Chih Yao*, “Algorithm for generalized co-complementarity problems in Banach spaces”, Computer and Mathematics with Applications, vol. 43, vo. 1-2 (2002), 49-54. (NSYSU, SCI, JCR(2004) IF:0.414, 118/162 (Applied Math))

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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math))

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

16.            Hwa-Long Gau, Jyh-Shyang Jeang and Ngai-Ching Wong*, “An algebraic approach to the Banach-Stone theorem for separating linear bijections”,  Taiwanese J. Math., vol. 6, no. 3 (2002), 399-403. (NSYSU, SCI, JCR(2004) IF:0.414, 118/162 (Applied Math))

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. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

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. (NSYSU, SCI, JCR(2004) IF:0.527, 63/181 (Math))

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. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

20.            Hwa-Long Gau*, Jyh-Shyang Jeang and Ngai-Ching Wong, “Biseparating linear maps between continuous vector-valued function spaces”, J. Australian Math. Soc., vol. 74, no. 1 (2003), 101-111. (NSYSU, SCI, JCR(2004) IF:0.252, 153/181 (Math))

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. (NSYSU, SCI, JCR(2004) IF:0.414, 118/162 (Applied Math))

22.            Ouayl Chadli, Ngai-Ching Wong and Jen-Chih Yao*, “Condition S+ for Equilibrium Problems and Applications”, J. Optimization Theory and Applications, vol. 117, no. 2 (2003), 245-266. (NSYSU, SCI, JCR(2006) IF:0.633, 78/162 (Applied Math))

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

24.            Jyh-Shyang Jeang and Ngai-Ching Wong*, “On the Banach-Stone problem”, Studia Math., vol. 155, no. 2 (2003), 95-105. (NSYSU, SCI, JCR(2004) IF:0.527, 63/181 (Math))

25.            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. (NSYSU, SCI, JCR(2004) IF:0.508, 66/181 (Math))

26.            Lawrence G. Brown and Ngai-Ching Wong*, “Unbounded disjointness preserving linear functionals”, Monatshefte für Mathematik, 141 (2004), no. 1, 21 - 32. (NSYSU, SCI, JCR(2004) IF:0.348, 119/181 (Math))

27.            Meng-Han Li and Ngai-Ching Wong*, “Sums of angles of star polygons”, Southeast Asian Bulletin of Math., 28 (2004), no. 3, 437–446. (NSYSU)

28.            Cho-Ho Chu* and Ngai-Ching Wong, “Isometries between C*-algebras”, Revista Matematica Iberoamericana, 20 (2004), no. 1, 87--105. (NSYSU, SCI, JCR(2004) IF:0.565, 54/181 (Math))

29.            Ngai-ChingWong*, Triple homomorphisms of operators algebras, Southeast Asian Bulletin of Math., 29 (2005), 401–407. (NSYSU)

30.            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. (NSYSU, SCI, JCR(2004) IF:0.508, 66/181 (Math))

31.            Yin-Fen Lin* and Ngai-Ching Wong, “Power compact disjointness preserving maps of continuous function spaces”, Bulletin of the Irish Mathematical Society, 55 (2005), 7–14. (NSYSU)

32.            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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math))

33.            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. (NSYSU, SCI, JCR(2004) IF:0.349, 118/181 (Math))

34.            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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math))

35.            Yen-Cherng Lin, Ngai-ChingWong 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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math))

36.            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.  (NSYSU, SCI, JCR(2006) IF:0.440 (Math))

37.            Jung-Hui Liu and Ngai-Ching Wong*, “2-Local automorphisms of operator algebras”, J. Math. Anal. Appl., 321 (2006), no. 2, 741-750. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

38.            Ngai-Ching Wong*, “Zero product preservers of C*-algebras”, Contemprory Math., 435 (2007), 377-380.. (NSYSU)

39.            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. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

40.            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 Applications, 135(3) (2007), 515-530. (NSYSU, SCI, JCR(2006) IF:0.633, 78/181 (Math))

41.            Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao*, “On the convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities”, J. Optimization Theory and Application, 132(1) (2007), 51-69. (NSYSU, SCI, JCR(2006) IF:0.633 (Math))

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.. (NSYSU, SCI, JCR(2004) IF:0.490, 68/181 (Math))

43.            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. (NSYSU, SCI, JCR(2004) IF:0.527, 63/181 (Math)).

44.            Jong-Hui Liu, and Ngai-Ching Wong*, “Local automorphisms of operator algebras”, Taiwanese J. Math., in press. (NSYSU, SCI, JCR(2006) IF:0.357 (Math))

45.            Bui Trong Kien, Ngai Ching Wong and Jen-Chih Yao*, “Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators”, Nonlinear Analysis, Series A: Theory, Methods & Applications, 68  (2008),  no. 9, 2859--2871. (NSYSU, SCI, JCR(2005) IF: 0.519)

46.            Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Property T for non-unital C*-algebras”, J. Math. Anal. Appl., 341  (2008),  no. 2, 1102--1106. (NSYSU, SCI)

47.            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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math)).

48.            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. (NSYSU, SCI, JCR(2006) IF:0.500 (Applied Math))

49.            L. C. Ceng and N. C. Wong*, “Viscosity Approximation Methods for Equilibrium Problems and Fixed Point Problems of Nonlinear Semigroups”, Taiwanese J. Math., in press. (NSYSU, SCI, JCR(2006) IF:0.357 (Math)).

50.            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. (NSYSU, SCI, JCR(2006) IF:0.357 (Math)).

51.            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. (NSYSU, SCI, JCR(2006) IF:0.440)

52.            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.. (NSYSU, SCI)

53.            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. (NSYSU, SCI)

54.            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.. (NSYSU, SCI)

55.            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. (NSYSU, SCI)

56.            Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Geometric pre-ordering on C*-algebras”, Journal of Operator Theory, in press. (NSYSU, SCI)

57.            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. (NSYSU, SCI)

58.             Hwa-Long Gau, Chih-Jen Wang and Ngai-Ching Wong*, “Invertibility and Fredholmness of linear sums of quadratic, k-potent and nilpotent operators”, Operators and Matrices, 2  (2008),  no. 2, 193--199. (NSYSU, SCI)

59.             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.. (NSYSU, SCI)

60.             Yin-Fen Lin* and Ngai-Ching Wong, “The structure of compact disjointness preserving maps of continuous functions”, Math. Nachr., 282, No. 7 (2009). (NSYSU, SCI)

61.             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. (NSYSU, SCI)

62.            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, in press. (NSYSU, SCI)

63.            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. (NSYSU, SCI)

64.            Lu-Chuan Cheng, 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, in press. (NSYSU, SCI)

65.            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., in press.

66.            Ching-Jou Liao and Ngai-Ching Wong*, “Smoothly embedded subspaces of a Banach space”, Taiwanese J. Math., in press. (NSYSU, SCI)

67.            Chi-Wai Leung, Chung-Wen Tsai and Ngai-Ching Wong*, “Separating linear maps of continuous fields of Banach spaces”, Asian-European J. Math., in press. (NSYSU)

68.            Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Unitaries in JB-algebras”, J. Math. Anal. Appl., in press.

69.            Chi-Wai Leung and Ngai-Ching Wong*, “Zero product preservers of CCR C*-algebras with Hausdorff spectrum”, J. Math. Anal. Appl., in press.

70.            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, in press.

 

研討會論文集論文

 

71.            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. (NSYSU)

72.            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. (NSYSU)

73.            Ngai-Ching Wong*, “The triangle of operators, topologies and bornologies”, Third International Congress of Chinese Mathematicians. Part 1, 2,  395--421, AMS/IP Stud. Adv. Math., 42, pt.1, 2, Amer. Math. Soc., Providence, RI, 2008. (NSYSU)

 

待發表論文

 

74.            Man-Chung Ng and Ngai-Ching Wong, “A non-compact approach to the duality between prior beliefs and trading demands”, submitted to J. Economics Theory.

75.            Mark C. Ho, Mu-Ming Wong and Ngai-Ching Wong, “Disjointness preserving linear functionals of group algebras”, preprint.

76.            Jinchuan Hou, Chi-Kwong Li, and Ngai-Ching Wong, “Maps preserving the spectrum of generalized Jordan product of operators”, preprint.

77.            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”, preprint.

78.            Anthony Lau and Ngai-Ching Wong, “Disjointness and orthogonality preserving linear maps of C*-algebras and Fourier algebras”, preprint.

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

80.            Lawrence G. Brown and Ngai-Ching Wong, “Left quotients of a C*-algebra, III: Operators on left quotients”, preprint.

81.            Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, “Linear orthogonality preservers of Hilbert bundles”, preprint.

82.            Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, “Automatic continuity and C0(Ω)-modules”, preprint.

83.            Jian-Wen Peng,  Ngai-Ching Wong*, and  Xin-Min Yang, “Some Modified Extragradient  Methods For Common Solutions of Generalized Equilibrium Problems and Fixed Points of  Nonexpansive mappings”, submitted to Optimization .

 

四)    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.

 

 (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.

 

 

五)    系所演講

 

 

1991年】 中央研究院數學研究所

               師範大學數學系

               清華大學數學研究所

               成功大學數學系

               交通大學應用數學系           

中山大學應用數學系

香港中文大學數學系

 

1992年】 中央研究院數學研究所

               中原大學數學系

               清華大學應用數學系

               香港中文大學數學系

 

 

1994年】 華中理工大學數學系

 

 

1995年】 中正大學數學系

               成功大學數學系

               交通大學應用數學系

 

 

1996年】 中正大學數學系

                      中央研究院數學研究所

               彰化師範大學數學系

 

1997年】 師範大學數學系

                      台灣大學數學系

 

1998年】 香港科技大學數學系

                      北京大學數學系

                      (北京)清華大學數學系

                      (北京)中科院數學所

 

 

1999年】   中山大學應用數學系

中正大學數學系

倫敦大學 (Goldsmiths College) 數學系

 

2000年】    香港中文大學數學系(2)

成功大學數學系

台灣師範大學數學系

                      中正大學數學系

                      花蓮師範學院數理系

 

2001年】    加拿大 Univ. of Alberta 數學系

美國 Univ. of Kansas 數學系

東華大學應用數學系

北京大學數學系

中國科學院數學所

 

2002年】    台灣大學數學系(2)

台灣師範大學數學系

 

2003年】    中正大學數學系

台灣師範大學數學系

彰化師範大學數學系

 

2004年】    中山大學應用數學系

南開大學數學系

中國科學院數學所

成功大學數學系

 

2005年】    花蓮師範學院數理系

新竹教育大學數學系

 

2006年】      中山大學應用數學系

 

2007年】      成功大學數學系

 

2009年】                    中山大學資工系

東吳大學數學系

 

 

 

 

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) 1993年分別於中山大學、中央大學 (315) 和中原大學 (63-4) 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1721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 (200011111223200133)、中研院 (200162) 和台灣師範大學 (2001113),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 (20019191229) 和台灣師範大學 (20011027),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), 2001121415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 (2002323)、彰化師範大學 (2002511)、中山大學 (2000622)、中央大學 (20021056) 和中研院 (2002121415),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 (200331516)、中央大學 (預計20036) 和中山大學 (預計200310),共舉辦三次研討會。

8.  NCTS Workshop on Functional Analysis 泛函分析研討會 2004, 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, 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, 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, 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。

 

 

 

七)    學術期刊編輯和審稿人

 

編輯 Editor:

1.       Operators and Matrices (SCI, published since 2007 by Elements)

2.       Asian-European J. Math. (published since 2008 by World Scientific)

 

審稿人 Referee:

Acta Math. Sinica, Applied Math. Letters, Bulletin of Mexican Mathematics Society, Bulletin of Southeast Asian Mathematics Society, Computer, Mathematics and Applications, Illinois J. Math., Indian J. Math., International Journal of Mathematical and Mathematical Sciences, Journal of Applied Mathematics, J. Math. Anal. Appl., Linear Algebra and Applications, Mathematics Reviews,  Nonlinear Analysis, Operators and Matrices, 中研院數學所【數學集刊】、【中國數學雜誌】、【台灣數學學報】、【淡江數學學報】、【東吳數學學報】、【成功大學學報】。

 

 

八)    主編之論文集

 

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, in press 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.)

 

 

 

九)    受國科會資助為主持人之計畫 (81=1992)

 

1. 一個新 C*-代數的表示理論及其應用』

       計畫編號 NSC 81-0208-M110-512, 執行期限 81.02.01-82.01.31, 經費 20.2

2. 數學系主修生的微積分課程改革研究(I)』

       計畫編號 NSC 82-0111-S110-003, 執行期限 81.08.01-82.07.31, 經費 41.6

3. 『高雄區高中數學科學學習成績優異學生輔導實驗計畫(數學組)』

       計畫編號 NSC 82-0111-S110-001, 執行期限 81.10.01-82.09.30, 經費 107

4. 『非交換 Banach-Stone 定理』

       計畫編號 NSC 82-0208-M110-071, 執行期限 82.02.01-83.01.31, 經費 21

5. 『高雄區高中數學學習成績優異學生輔導實驗計畫』

       計畫編號 NSC 83-0111-S110-001, 執行期限 82.10.01-83.09.30, 經費146.2

6. 『算子、拓樸與囿性之三角關係』

       計畫編號 NSC 83-0208-M110-017, 執行期限 83.02.01-84.07.31, 經費 40.7

7. C*-代數間的保持不相交性算子』

       計畫編號 NSC 85-2121-M110-006, 執行期限 84.08.01-85.07.31, 經費33.4

8.         C*-代數間的等距算子』

計畫編號 NSC 86-2115-M110-002, 執行期限 85.08.01-86.07.31, 經費61.3

9.         『局部凸空間中緊凸集之幾何學』

計畫編號 NSC 87-2115-M110-002, 執行期限 86.08.01-87.07.31, 經費60.95

10.      『無窮維希爾伯特流形的可逆性』  

計畫編號 NSC 88-2115-M110-006, 執行期限 87.08.01-88.07.31, 經費115.96

11.        C*-代數的有限餘維子空間的結構(1/3)

計畫編號 NSC 89-2115-M110-009, 執行期限 88.08.01-89.07.31, 經費96.46

12.        C*-代數的有限餘維子空間的結構(2/3)

計畫編號 NSC 89-2115-M110-024, 執行期限 89.08.01-90.07.31, 經費82.46

13.        C*-代數的有限餘維子空間的結構(3/3)

計畫編號 NSC 90-2115-M110-018, 執行期限 90.08.01-91.07.31, 經費84.02

14.      『函數代數上的位移算子理論(1/2)

計畫編號 NSC 91-2115-M110-010, 執行期限 91.08.01-92.07.31, 經費120.64

15.      『函數代數上的位移算子理論(2/2)

計畫編號 NSC 92-2115-M110-003, 執行期限 92.08.01-93.07.31, 經費159.21

16.      『高雄地區數學期刊圖書服務計畫(2/3)

計畫編號 NSC 92-2375-M110-003, 執行期限 92/01/01 ~ 92/12/31, 經費120.64

17.      『高雄地區數學期刊圖書服務計畫(3/3)

計畫編號 NSC 93-2735-M-110-004-, 執行期限 93/01/01 ~ 93/12/31, 經費195

18.      『高雄區高中數學科資優生培育計畫 (3/3)

計畫編號 NSC92-MOE-S-110-004-X1,執行期限 92/01/01~92/12/31, 經費120.60

19.      『高雄區高中數學科資優生培育計畫』

計畫編號 NSC 92-2511-S-110-005-, 執行期限 92/12/01 ~ 92/7/31, 經費43.51

20.      『高雄地區數學期刊圖書服務計畫(1/3)

計畫編號 NSC 94-2735-M-110-001-, 執行期限 94/01/01 ~ 94/12/31, 經費195

21.      『高雄地區數學期刊圖書服務計畫(2/3)

計畫編號 NSC 95-2735-M-110-001-, 執行期限 94/01/01 ~ 95/12/31, 經費195

22.      『高雄地區數學期刊圖書服務計畫(3/3)

計畫編號 NSC 96-2735-M-110-001-, 執行期限 95/01/01 ~ 96/12/31, 經費195

23.      算子代數的局部結構(1/3)

計畫編號 NSC 93-2115-M-110-009-, 執行期限 93/8/01 ~ 94/7/31, 經費161.46

24.      算子代數的局部結構(2/3)

計畫編號 NSC 94-2115-M-110-005-, 執行期限 94/8/01 ~ 95/7/31, 經費160.70

25.    算子代數的局部結構(3/3)

計畫編號 NSC 95-2115-M-110-001-, 執行期限 95/8/01 ~ 96/7/31, 經費142.9

26.   『整體算子理論及C*-代數 (1-3/3)

計畫編號 NSC 96-2115-M-110-004-MY3, 執行期限 96/8/01 ~ 99/7/31, 經費532.9

 

   

十)    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、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()

 

碩士班 22人,  博士班7人,  博士後研究員: 6人。

 

十一)       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,20072月至6月。