Isometries for unitarily invariant norms

被引：18

作者：

Chan, JT

Li, CK ^{[1
]}

Sze, NS

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 399卷

关键词：

isometry; unitarily invariant norm; singular values;

D O I：

10.1016/j.laa.2004.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometrics for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：53 / 70

页数：18

共 50 条

[1] ISOMETRIES OF C-P-SPACES IN NEST-ALGEBRAS
ANOUSSIS, M
KATAVOLOS, A
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 51 : 175 - 188
[2] ISOMETRIES OF BANACH-ALGEBRAS SATISFYING THE VON-NEUMANN-INEQUALITY
ARAZY, J
[J]. MATHEMATICA SCANDINAVICA, 1994, 74 (01) : 137 - 151
[3] ISOMETRIES OF C-P(N,M) INTO CP
ARAZY, J
FRIEDMAN, Y
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1977, 26 (02) : 151 - 165
[4] ISOMETRIES OF NON-SELF-ADJOINT OPERATOR-ALGEBRAS
ARAZY, J
SOLEL, B
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 90 (02) : 284 - 305
[5] ISOMETRIES OF CP
ARAZY, J
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1975, 22 (3-4) : 247 - 256
[6] Auerbach H, 1932, CR HEBD ACAD SCI, V195, P1367
[7] A class of unitarily invariant norms on B(H)
Chan, JT
Li, CK
Tu, CCN
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (04) : 1065 - 1076
[8] CHANG SS, 1991, LINEAR MULTILINEAR A, V30, P65
[9] Charzytiski Z., 1953, STUD MATH, V13, P94
[10] Isometries between matrix algebras
Cheung, WS
Li, CK
Poon, YT
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 77 : 1 - 16

← 1 2 3 4 5 →