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
收藏
页码：95 / 104
页数：10
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