ADDITIVE MAPS PRESERVING THE SEMI-FREDHOLM DOMAIN IN SPECTRUM

被引：7
|
作者：
Shi, Weijuan [1 ]
Ji, Guoxing [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Peoples R China
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2016年 / 7卷 / 02期
基金：
中国国家自然科学基金;
关键词：
semi-Fredholm domain; additive map; additive preserver; LINEAR-MAPS; ALGEBRAS; OPERATORS; MAPPINGS;
D O I：
10.1215/20088752-3475508
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let X be an infinite-dimensional complex Banach space and let B(X) be the algebra of all bounded linear operators. In this article we show that an additive surjective map phi on B(X) preserving the semi-Fredholm domain in spectrum is an automorphism or an antiautomorphism on B(X).
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页码：254 / 260
页数：7
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