SOME NEW PERTURBATION RESULTS FOR GENERALIZED INVERSES OF CLOSED LINEAR OPERATORS IN BANACH SPACES

被引：7

作者：

Huang, Qianglian ^{[1
]}

Zhu, Lanping ^{[1
]}

Yu, Jiena ^{[1
]}

机构：

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

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2012年 / 6卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Moore-Penrose inverse; generalized inverse; closed linear operator; EP operator; T-boundedness; MOORE-PENROSE INVERSES; HILBERT-SPACES; CONTINUITY; ELEMENTS;

D O I：

10.15352/bjma/1342210160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the perturbation and expression for the generalized inverse and Moore-Penrose inverse of closed linear operator under a weaker perturbation condition. As a application, we also investigate the perturbation for the Moore-Penrose inverse of closed EP operator. Some new and interesting perturbation results and examples are obtained in this paper.

引用

页码：58 / 68

页数：11

共 50 条

[1] Some new perturbation theorems for generalized inverses of linear operators in Banach spaces
Yang, Xiaodan
Wang, Yuwen
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (11-12) : 1939 - 1949
[2] Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces
Wang, Yuwen
Zhang, Hao
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 426 (01) : 1 - 11
[3] Perturbation analysis of generalized inverses of linear operators in Banach spaces
Huang, QL
Ma, JP
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 389 : 355 - 364
[4] New perturbation results on pseudo-inverses of linear operators in Banach spaces
Ding, J
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 362 : 229 - 235
[5] ON THE PERTURBATION OF OUTER INVERSES OF LINEAR OPERATORS IN BANACH SPACES
Zhu, Lanping
Pan, Weiwei
Huang, Qianglian
Yang, Shi
ANNALS OF FUNCTIONAL ANALYSIS, 2018, 9 (03): : 344 - 353
[6] On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces
Huang, Qianglian
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (12) : 2468 - 2474
[7] On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces
Huang, Qianglian
Zhu, Lanping
Chen, Xiaoru
Zhang, Chang
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8] Perturbation of generalized inverses of linear operators in Hilbert spaces
J Math Anal Appl, 2 (506):
[9] Perturbation of generalized inverses of linear operators in Hilbert spaces
Ding, J
Huang, LJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 198 (02) : 506 - 515
[10] Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators
Huang, Qianglian
Zhai, Wenxiao
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (01) : 117 - 127

← 1 2 3 4 5 →