Name
Hwa-Long Gau
Gender Male
Rank Professor
Education Ph.D., National Chiao Tung University
Tel 886-3-4227151 Ext. 65114
Fax 886-3-4257379
Office Room 307, Hong-Jing Building
E-mail hlgau@math.ncu.edu.tw
Homepage  
Field Operator theory
Experience
2013/01 ~ present Linear and Multilinear Algebra, Editorial board member
2011/08 ~ present Professor, National Central University
2005/08 ~ 2011/07 Associate Professor, National Central University
2001/08 ~ 2005/07 Assistant Professor, National Central University
2000/05 ~ 2001/07 Postdoctor, National Sun Yat-sen University
Honor
 
Selected
Publications
  1. Hwa-Long Gau, Kuo-Zhong Wang and Pei Yuan Wu*, Numerical radii for tensor products of operators, Integral Equations and Operator Theory, to appear. DOI: 10.1007/s00020-013-2098-5
  2. Hwa-Long Gau*, Kuo-Zhong Wang and Pei Yuan Wu, Numerical radii for tensor products of matrices, Linear Multilinear Algebra, to appear. DOI:10.1080/03081087.2013.839669
  3. Hwa-Long Gau and Pei Yuan Wu*, Zero-dilation indices of KMS matrices, Ann. Funct. Anal. 5 (2014), no. 1, 30--35.
  4. Chi-Tung Chang*, Hwa-Long Gau and Kuo-Zhong Wang, Equality of higher-rank numerical ranges of matrices, Linear Multilinear Algebra, to appear. DOI: 10.1080/03081087.2013.811500
  5. Hwa-Long Gau and Pei Yuan Wu*, Numerical ranges of KMS matrices, Acta Sci. Math. (Szeged), to appear.
  6. Hwa-Long Gau, Ming-Cheng Tsai* and Han-Chun Wang, Refinements of numerical ranges of weighted shift matrices, Linear Multilinear Algebra, to appear. DOI: 10.1080/03081087.2013.804522
  7. Cheng-Chun Chang, Hwa-Long Gau*, Ya-Shu Wang, Szu-Chieh Wu and Ya-Ting Yeh, Matrices with defect index one, Operators and Matrices, to appear. http://files.ele-math.com/preprints/oam-0576-pre.pdf
  8. Hwa-Long Gau and Pei Yuan Wu*, Numerical ranges and compressions of Sn-matrices, Operators and Matrices 7 (2013), no. 2, 465V476.
  9. Hwa-Long Gau* and Pei Yuan Wu, Higher-rank numerical ranges and Kippenhahn polynomials, Linear Algebra Appl. 438 (2013), 3054V3061.
  10. Chi-Tung Chang*, Hwa-Long Gau, Kuo-Zhong Wang and Pei Yuan Wu, Numerical ranges and Gersgorin discs, Linear Algebra Appl. 438 (2013), 1170V1192.
  11. Hwa-Long Gau*, Ming-Cheng Tsai and Han-Chun Wang, Weighted shift matrices: unitary equivalence, reducibility and numerical ranges, Linear Algebra Appl. 438 (2013), 498V513.
  12. Hwa-Long Gau* and Pei Yuan Wu, Noncircular elliptic discs as numerical ranges of nilpotent operators, Linear Multilinear Algebra 60 (2012), 1225-1233.
  13. Hwa-Long Gau, Chi-Kwong Li, Yiu-Tung Poon and Nung-Sing Sze*, Higher rank numerical ranges of normal matrices, SIAM. J. Matrix Anal. Appl. 32 (2011), Issue 1, 23-43.
  14. Kuo-Zhong Wang, Pei Yuan Wu* and Hwa-Long Gau, Crawford numbers of powers of a matrix, Linear Algebra Appl. 433 (2010), 2243--2254.
  15. Hwa-Long Gau* and Pei Yuan Wu, Defect indices of powers of a contraction, Linear Algebra Appl. 432 (2010), 2824--2833.
  16. Hwa-Long Gau* and Pei Yuan Wu, Unitary part of a contraction, J. Math. Anal. Appl. 366 (2010), 700--705.
  17. Hwa-Long Gau*, Numerical ranges of reducible companion matrices, Linear Algebra Appl. 432 (2010), 1310--1321.
  18. Hwa-Long Gau*, Chi-Kwong Li and Pei Yuan Wu, Higher-rank numerical ranges and dilations, Journal of Operator Theory. 63:1 (2010),181--189.
  19. Hwa-Long Gau* and Pei Yuan Wu, Inner functions of numerical contractions, Linear Algebra Appl. 430 (2009), 2182--2191.
  20. Pei Yuan Wu*, Hwa-Long Gau, and Ming Cheng Tsai, Numerical radius inequality for C0 contractions, Linear Algebra Appl. 430 (2009), 1509--1516.
  21. Hwa-Long Gau* and Pei Yuan Wu, Numerical ranges of nilpotent operators, Linear Algebra Appl. 429 (2008), 716--726.
  22. Hwa-Long Gau, Chih-Jen Wang and Ngai-Ching Wong*, Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators, Opreators and Matrices, 2 (2008), no. 2, 193--199.
  23. Hwa-Long Gau, Chin-Ying Huang and Pei Yuan Wu*, Numerical radius inequalities for square-zero and idempotent operators, Opreators and Matrices, 2 (2008), no. 1, 137--141.
  24. Hwa-Long Gau* and Pei Yuan Wu, Line segments and elliptic arcs on the boundary of a numerical range, Linear Multilinear Algebra 56 (2008), no. 1-2, 131--142.
  25. Hwa-Long Gau and Pei Yuan Wu*, Fredholmness of linear combinations of two idempotents, Integral Equations and Operator Theory, 59 (2007), 579--583.
  26. Hwa-Long Gau* and Chi-Kwong Li, C*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps, Proc. Amer. Math. Soc. 135 (2007), no. 9, 2907X2914.
  27. Hwa-Long Gau and Pei Yuan Wu*, Numerical ranges of companion matrices, Linear Algebra Appl. 421 (2007), 202--218.
  28. Hwa-Long Gau*, Elliptic numerical ranges of 4x4 matrices, Taiwanese J. Math, vol. 10, no. 1 (2006), 117--128.
  29. Hwa-Long Gau and Pei Yuan Wu*, Anderson's theorem for compact operators, Proc. Amer. Math. Soc., vol. 134, no. 11 (2006), 3159--3162.
  30. Hwa-Long Gau* and Pei Yuan Wu, Numerical range of a normal compression. II, Linear Algebra Appl. 390 (2004), 121--136.
  31. Hwa-Long Gau* and Pei Yuan Wu, Numerical range of a normal compression, Linear Multilinear Algebra, vol. 52, no. 3-4 (2004), 195--201.
  32. Hwa-Long Gau and Pei Yuan Wu*, Companion matrices: reducibility, numerical range and similarity to contractions, Linear Algebra Appl., 383 (2004), 127-142.
  33. Hwa-Long Gau and Pei Yuan Wu*, Numerical range circumscribed by two polygons, Linear Algebra Appl., 382 (2004), 155--170.
  34. Hwa-Long Gau and Pei Yuan Wu*, Finite Blaschke products of contractions, Linear Algebra Appl. 368 (2003), 359--370.
  35. Hwa-Long Gau and Pei Yuan Wu*, Numerical range and Poncelet property, Taiwanese J. Math. 7 (2003), no. 2, 173--193.
  36. Hwa-Long Gau and Pei Yuan Wu*, Condition for the numerical range to contain an elliptic disc, Linear Algebra Appl. 364 (2003), 213--222.
  37. Hwa-Long Gau*, Jyh-Shyang Jeang and Ngai-Ching Wong, Biseparating linear maps between continuous vector-valued function spaces, J. Aust. Math. Soc. 74 (2003), no. 1, 101--109.
  38. 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. 6 (2002), no. 3, 399--403.
  39. Hwa-Long Gau and Pei Yuan Wu*, Lucas' theorem refined, Linear and Multilinear Algebra 45 (1999), no. 4, 359--373.
  40. Hwa-Long Gau and Pei Yuan Wu*, Dilation to inflations of , Linear and Multilinear Algebra 45 (1998), no. 2-3, 109--123.
  41. Hwa-Long Gau and Pei Yuan Wu*, Numerical range of , Linear and Multilinear Algebra 45 (1998), no. 1, 49--73.
  42. Hwa-Long Gau and Ngai-Ching Wong*, Some converses of the strong separation theorem, Proc. Amer. Math. Soc. 124 (1996), no. 8, 2443--2449.

 

 
Faculty
 
Sheu, shuenn Jyi
Meng-Kai Hong
Feng-Nan Hwang
Chin-Yuan Lin
Ming-Guang Leu
Chin-Cheng Lin
Jann-Long Chern
Cheng-Hsiung Hsu
Suh-Yuh Yang
Hong-Gwa Yeh
Yen-Mei J. Chen
Duy-Minh Nhieu
Hwa-Long Gau
Mei-Lin Yau
Fang, Xiang
Ming-Yi Lee
Hung-Lin Chiu
Jenn-Hwa Yu
Wei-Chang Shann
Yu-Sheng Hsu
Chia-Chang Hsiao
Re-Bin Rau
Wei-Han Wu
Sheng-Chyang Liaw
Ching-hsiao Cheng
Rung-Tzung Huang
Shang-Yuan Shiu
Yung-Ning Peng
Jheng-Jie Chen
Fu-Tsun Wei
Hau-Wen Huang
   
 
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