|
Isometries for Ky Fan norms between matrix spaces
Author(s):
Chi-Kwong
Li;
Yiu-Tung
Poon;
Nung-Sing
Sze
Journal:
Proc. Amer. Math. Soc.
133
(2005),
369-377.
MSC (2000):
Primary 15A04, 15A60
Posted:
August 26, 2004
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
We characterize linear maps between different rectangular matrix spaces preserving Ky Fan norms.
References:
-
- 1.
- R. Bhatia, Matrix Analysis, Springer-Verlag, New York, 1997. MR 98i:15003
- 2.
- W. S. Cheung and C. K. Li, Linear maps transforming the unitary group, Bulletin Canad. Math. Soc. 46 (2003), 54-58. MR 2003m:15007
- 3.
- W. S. Cheung, C. K. Li and Y. T. Poon, Isometries between matrix algebras, to appear in J. Australian Math. Soc. pdf file available at http://www.resnet.wm.edu/
 cklixx/poon-7.pdf. - 4.
- R. Grone and M. Marcus, Isometries of matrix algebras, J. Algebra 47 (1977), 180-189. MR 56:3039
- 5.
- R. V. Kadison, Isometries of operator algebras, Ann. of Math. (2) 54 (1951), 325-338. MR 13:256a
- 6.
- C. K. Li, Matrices with some extremal properties, Linear Algebra Appl. 101 (1988), 255-267. MR 89c:15025
- 7.
- C. K. Li, L. Rodman, and P. Semrl, Linear transformations between matrix spaces that map one rank specific set into another, Linear Algebra Appl. 357 (2002), 197-208. MR 2003i:15002
- 8.
- C. K. Li, P. Semrl, and A. R. Sourour, Isometries for Ky-Fan norms on block triangular matrix algebras, Archiv Math. 81 (2003), 175-181.
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
15A04, 15A60
Retrieve articles in all Journals with MSC
(2000):
15A04, 15A60
Additional Information:
Chi-Kwong
Li
Affiliation:
Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
Email:
ckli@math.wm.edu
Yiu-Tung
Poon
Affiliation:
Department of Mathematics, Iowa State University, Ames, Iowa 50011 -- and -- Department of Mathematics, HKIEd, Hong Kong
Email:
ytpoon@ied.edu.hk
Nung-Sing
Sze
Affiliation:
Department of Mathematics, The University of Hong Kong, Hong Kong
Email:
math2000@graduate.hku.hk
DOI:
10.1090/S0002-9939-04-07510-0
PII:
S 0002-9939(04)07510-0
Keywords:
Isometry,
matrices,
linear maps
Received by editor(s):
July 8, 2003
Received by editor(s) in revised form:
August 26, 2003
Posted:
August 26, 2004
Additional Notes:
The first author's research was partially supported by NSF
The third author thanks Dr. Jor-Ting Chan for his guidance and encouragement
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
|
Comments: webmaster@ams.org