Preservers of local spectrum of matrix Jordan triple products

被引：16

作者：

Bendaoud, Mohamed ^{[1
]}

机构：

[1] Moulay Ismail Univ, ENSAM, Dept Math, Meknes 15290, Al Mansour, Morocco

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 471卷

关键词：

Local spectrum; Single-valued extension property; Jordan triple product; Nonlinear preservers; PERIPHERAL SPECTRUM; SURJECTIVE MAPS; RADIUS DISTANCE; OPERATORS; B(H);

D O I：

10.1016/j.laa.2015.01.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M-n be the space of n x n complex matrices, and for a nonzero vector e is an element of C-n and T is an element of M-n, let sigma(T)(e) denote the local spectrum of T at e. Maps phi on M-n which preserve the local spectrum of Jordan triple product of matrices at e in a sense that sigma(phi(T)phi(S)phi(T))(e) = sigma(TST)(e), (T,S is an element of M-n) are characterized, with no surjectivity assumption on them. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：604 / 614

页数：11

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