Maps preserving the joint numerical radius distance of operators

被引：4

作者：

Li, Chi-Kwong ^{[2
]}

Poon, Edward ^{[1
]}

机构：

[1] Embry Riddle Aeronaut Univ, Dept Math, Prescott, AZ 86301 USA

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 05期

基金：

美国国家科学基金会;

关键词：

Joint numerical range (radius); Distance preserving maps; Norm; Isometry; Preserver;

D O I：

10.1016/j.laa.2012.04.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Denote the joint numerical radius of an m-tuple of bounded operators A = (A(1),... A(m)) by w(A). We give a complete description of maps f satisfying w(A - B) = w(f(A) - f(B)) for any two m-tuples of operators A = (A(1),..., A(m)) and B = (B-1,..., Bm). We also characterize linear isometries for the joint numerical radius, and maps preserving the joint numerical range of A. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1194 / 1204

页数：11

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