Publications

55   " (with C. K. Li, M. Nakahara,  N. S. Sze and H, Tomita)  Recovery in quantum error correction for general noise without measurement, Quantum Information and Computation,  12 (2012), 149-158.

54   "(with H. F. Chau,  C. K. Li and N. S. Sze)  Induced metric and matrix inequalities on unitary matrices, in Journal of Physics A: Mathematical and Theoretical,  45 (2012) 095201."

53 "(with C. K. Li)  Generalized numerical ranges and quantum error correction, J. Operator Theory,  66 (2011),  353-384."

52   " (with C. K. Li)  Interpolation by Completely Positive Maps, Linear and Multilinear Algebra, 59 (2011), 1159-1170."

51 "(with C. K. Li and M. Tominaga)  Spectra, norms and numerical ranges of generalized quadratic operators, Linear Algebra and Multilinear Algebra,  59 (2011), 1077-1104."

50 "(with C. K. Li, M. Nakahara,  N. S. Sze and H, Tomita)   Recursive encoding and decoding of noiseless subsystem and decoherence    free subspace, Physical Review A , 84 (2011) 044301. "

49    "(with C. K. Li, M. Nakahara,  N. S. Sze and H, Tomita)  Efficient Quantum Error Correction for Fully Correlated Noise, Physics Letters A, 375 (2011) 3255-3258."

48   "(with C. K. Li and N. S. Sze)  Elliptical range theorems  for generalized numerical ranges of quadratic operators, Rocky Mountain Journal of Math., 413 (2011), 813-832."

47    " (with C. K. Li and N. S. Sze)  A note on the realignment criterion, Journal of Physics A, 44 (2011),  315304."

46    "(with S. Friedland, C. K. Li and N. S. Sze)  The Automorphism Group of Separable States in Quantum Information Theory, Journal of Mathematical Physics, 52 (2011), 04220."

45    "(with C. K. Li and T. Schulte-Herbruggen)  Least-Squares Approximation by Elements from Matrix Orbits Achieved by Gradient Flows on Compact Lie Groups, Mathematics of Computation, 275 (2011), 1601-1621. "

44  "(with H.L. Gau, C. K. Li and N. S. Sze) Quantum Error Correction and Higher rank numerical ranges of normal matrices  SIAM J. Matrix Anal. Appl.,  32 (2011), 23-43.  "

43    "(with C. K. Li)  Sum of Hermitian Matrices with Given Eigenvalues: Inertia, Rank, and Multiple Eigenvalues, Canadian J. Math. 62 (2010), no. 1, 109-132."                                                                      

42    "(with C. K. Li)  The Sum of Unitary Similarity Orbits Containing Only Special Operators, Linear Algebra Appl., 431 (2009), 2336-2345."                                                                     

41    "(with C. K. Li)  Davis-Wielandt Shells of normal operators, Acta Sci. Math. (Szeged), 75(2009), 289-297."                                                                      

40    "(with C. K. Li)  The Joint Essential Numerical Range of operators: Convexity and Related Results.  Studia Math.  194  (2009),  no. 1, 91--104."                                                                     

39    "(with C. K. Li and N. S. Sze)  Condition for the higher rank numerical range to be non-empty, Linear Algebra and Multilinear Algebra,  57 (2009), no. 4, 365--368."                                                                     

38    "(with C. K. Li)  Spectrum, numerical range and Davis-Wielandt shell of a normal operator, Glasg. Math. J. 51 (2009), no. 1, 91--100. "                                                                       

37    "(with C. K. Li and N. S. Sze)  Higher rank numerical ranges and low rank perturbation of quantum channel, J. Math. Anal. Appl. 348 (2008), no. 2, 843--855."                                                                   

36    "(with C. K. Li and N. S. Sze)  Davis-Wielandt Shells of  operators, Operator and Matrices, 2(2008) 341-355."                                                                    

35    "(with C. K. Li and N. S. Sze)  Eigenvalues of the sum of matrices from unitary similarity orbits. SIAM J. Matrix Anal. Appl. 30 (2008), no. 2, 560--581."                                                                     

34    "(with C. K. Li and N. S. Sze)  Rank and Determinant of sum of matrices from unitary orbits, Linear and Multilinear Algebra 56 (2008), 105-130."                                                                  

33    "( with  J. Yoon) Quadratically hyponormal recursively generated weighted shifts need not be positively quadratically hyponormal. Integral Equations and Operator Theory 58 (2007), 551-562."                                                                    

32    "(with R. Curto and J. Yoon) Subnormality of Bergman-like weighted shifts,  J. Math. Anal. Appl., 308(2005), no.1, 334-342."                                                                    

31    "(with C. K. Li and N. S. Sze)  Linear Maps Transforming the Higher Numerical Ranges, Linear Algebra and its Applications, 400(2005), 291-311."                                                                    

30    "(with S. Fomin, W. Fulton and C.K. Li) Eigenvalues, singular values, and      Littlewood-Richardson Coefficients. Amer. J. Math. 127(2005), no. 1, 101-127. "                                                                      

29   "(with C. K. Li and N. S. Sze)  Isometries for Ky Fan Norms between Matrix Spaces, Proc. Amer. Math. Soc. 133 (2005), no. 2, 369-377."                                                                    

28   "(with W.S. Cheung and C.K. Li) Isometries Between Matrix Algebras, J. of   Australian Math. Soc., 77 (2004), 1-16."                                                                  

27    "(with  C.K. Li) Off-diagonal Submatrices of a Hermitian matrix,  Proc.  Amer.        Math. Soc. 132 (2004), no. 10, 2849-2856. "                                                                      

26    "(with C.K.Li) Principal Submatrices of a Hermitian matrix, Linear and  Multilinear Algebra 51 (2003), 199-208."                                                                   

25    "(with J.R. Peters) Z-analytic TAF algebras and partial dynamical systems, J. Operator Theory, 50 (2003), 387-409."                                                                   

24    "(with  M. D. Choi and C.K. Li) Some Convexity Features Associated with Unitary Orbits of Hermitian Matrices, Canadian J. of Math. 55 (2003), no. 3, 91-111."                                                                   

23    " (with C. K. Li) Diagonals and Partial Diagonals of Sum of Matrices, Canadian J. of  Math. 54 (2002), 571-594."                                                                     

22    "(with C. K. Li) Spectral inequalities and equalities involving products of matrices, Linear Algebra and its Applications 323 (2001), 131-143."                                                                    

21    "(with C.K. Li)  Convexity of Joint Numerical Range. SIAM Journal of Matrix Anal. and  Appl. 21 (2000), 668-678."                                                                     

20    "(with J. Peters) Lexicographic TAF Algebras, Trans. Amer. Math. Soc. 349, (1997), 4825-4855."                                                                  

19    "Generalized numerical ranges, joint positive definiteness and multiple eigenvalues, Proc. Amer. Math. Soc. 125 (1997), 1625-1634."                                                                   

18    "On the convex hull of the multiform numerical range, Linear and Multilinear Algebra 37 (1994), 221-223."                                                                  

17    "(with Z. J. Ruan) Operator Algebras with Contractive Approximate Identities, Canadian Journal of Mathematics 46 (1994), 397-414."                                                                      

16    " (with B. H. Wagner)  Z-analytic AF algebras and dynamical systems, Houston Journal of Mathematics 19 (1993), 181-199."                                                                     

15   "(with J. R. Peters and B. H. Wagner) Analytic AF Algebras, Canadian J. Math. 45 (1993), 1009-1031."                                                                  

14    "A complete isomorphism invariant for a class of triangular UHF algebra, Journal of Operator Theory 27 (1992), 221-230."                                                                       

13    "(with Z. J. Ruan) M-ideals and quotients of Subdiagonal Algebras, Journal of Functional Analysis 105 (1992), 144-170."                                                                  

12    "The Convexity of a Generalized Matrix Range, Linear Algebra and its Applications 162-164 (1992), 663-672."                                                                    

11    "Maximal triangular subalgebras need not be closed, Proc. Amer. Math. Soc. 111(1991), 475-479."                                                                    

10    "AF subalgebras of certain crossed products, Rocky Mountain Journal of Mathematics 20 (1990), 527-537."                                                                  

9     "(with J. Peters & B. Wagner), Triangular AF Algebras, J. Operator Theory 23 (1990), 81-114."                                                                     

8     "Stable rank of certain crossed products, Proceedings of the American Mathematical Society 105 (1989), 868-875."                                                                  

7     "A K-theoretic Invariant for Dynamical Systems, Transactions AMS 311 (1989), 515-533."                                                                       

6     "(with N. Bebiano and J. da Providencia) On C-det-spectral and C-det convex matrices, Linear and Multilinear Algebra 23 (1988), 343-351."                                                                    

5     "(with N. K. Tsing) Inclusion Relations Between Orthostochastic Matrices and Products of Pinching Matrices, Linear and Multilinear Algebra 21 (1987), 253-259."                                                                      

4     "The Generalized K-Numerical Ranges, Linear and Multilinear Algebra 9 (1980), 181-186."                                                                       

3     "Another Proof of a Result of Westwick, Linear and Multilinear Algebra 9 (1980), 35-37."                                                                   

2     "(with Y. H. Au-Yeung)  A Remark on the Convexity and Positive Definiteness Concerning Hermitian Matrices, SEA Bull. Math. 3 (1979), 85-92."                                                                  

1     "(with Y. H. Au-Yeung)  3 x 3  Orthostochastic Matrices and the Convexity of Generalized Numerical Ranges, Linear Algebra and its Applications 27: 69-79 (1979)."