Local Spectral Radius Preservers

被引：30

作者：

Bourhim, Abdellatif ^{[1
]}

Mashreghi, Javad ^{[2
]}

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[2] Univ Laval, Dept Math & Stat, Quebec City, PQ G1V 0A6, Canada

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2013年 / 76卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Spectrum; the single-valued extension property; finite rank operators; LINEAR-MAPS;

D O I：

10.1007/s00020-013-2041-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize surjective maps on , the space of all bounded operators on an infinite-dimensional complex Banach space X, which satisfy "r (T-S) (x) = 0 if and only if for every and ". We do not assume to be linear, or even additive, and thus this characterization is a step forward in generalizing some preceding results.

引用

页码：95 / 104

页数：10

共 9 条

[1]

AUPETIT B, 1991, PRIMER SPECTRAL THEO

[2]

Bhatia R, 1999, STUD MATH, V134, P99

[3] Additive maps preserving local spectrum [J].