On linear maps preserving generalized invertibility and related properties

被引：5

作者：

Boudi, Nadia ^{[1
]}

Hadder, Youness ^{[1
]}

机构：

[1] Univ My Ismail, Fac Sci, Dept Math, Zitoune Meknes, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 345卷 / 01期

关键词：

Hilbert space; generalized inverse; closed range; semi-fredholm operators; Jordan homomorphism; linear preserver problems;

D O I：

10.1016/j.jmaa.2008.03.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be an infinite-dimensional complex Hilbert space, B(H) be the algebra of all bounded linear operators on H. We study surjective linear maps on B(H) preserving generalized invertibility. We also investigate surjective linear maps preserving Fredholm (respectively, semi-Fredholm) operators. Our results improve those of Mbekhta, Rodman and Semrl. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：20 / 25

页数：6

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