Perturbation analysis of generalized inverses of linear operators in Banach spaces

被引：16

作者：

Huang, QL ^{[1
]}

Ma, JP

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Yangzhou Univ, Coll Math, Yangzhou 225002, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 389卷

基金：

中国国家自然科学基金;

关键词：

generalized inverse; Moore-Penrose inverse; subimmersion;

D O I：

10.1016/j.laa.2004.04.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X-1, X-2 be two Banach spaces and T : X-1 --> X-2 be a bounded linear operator with a bounded generalized inverse T+. We study the perturbation problem of generalized inverse T+ and provide two new stability characterizations of generalized inverse. We also give a continuity characterization of Moore-Penrose inverse in Hilbert spaces. Our results are new even in the case of matrices. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：355 / 364

页数：10

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