On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces

被引：14
|
作者：
Huang, Qianglian [1 ]
机构：
[1] Yangzhou Univ, Coll Math, Yangzhou 225002, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 12期
关键词：
Oblique projection generalized inverse; Closed linear operator; Banach spaces; T-boundedness; CONTINUITY;
D O I：
10.1016/j.laa.2010.12.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main concern of this paper is the perturbation problem for oblique projection generalized inverses of closed linear operators in Banach spaces. We provide a new stability characterization of oblique projection generalized inverses of closed linear operators under T-bounded perturbations, which improves some well known results in the case of the closed linear operators under the bounded perturbation or that the perturbation does not change the null space. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2468 / 2474
页数：7
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