Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces

被引：33

作者：

Wang, Yuwen ^{[1
]}

Zhang, Hao

机构：

[1] Harbin Normal Univ, Yuan Yung Tseng Funct Anal Res Ctr, Harbin 150025, Peoples R China

[2] Dalian Univ, Dalian, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 426卷 / 01期

关键词：

Banach space; closed linear operator; oblique projection generalized inverse; perturbation analysis;

D O I：

10.1016/j.laa.2007.02.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the perturbation problem for oblique projection generalized inverses of closed linear operators in Banach spaces. By the method of the perturbation analysis of linear operators, we obtain an explicit perturbation theorem and error estimates for the oblique projection generalized inverse of closed linear operators under the T-bounded perturbation, which extend the known results on the perturbation of the oblique projection generalized inverse of bounded linear operators in Banach spaces. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1 / 11

页数：11

共 17 条

[1] Perturbation of operators and applications to frame theory [J].

Cazassa, PG ;

Christensen, O .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (05) :543-557

[2] Perturbation analysis for the operator equation Tx=b in Banach spaces [J].

Chen, GL ;

Xue, YF .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (01) :107-125

[3] Perturbation analysis of the least squares solution in Hilbert spaces [J].

Chen, GL ;

Wei, MS ;

Xue, YF .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 244 :69-80

[4] Operators with closed range, pseudo-inverses, and perturbation of frames for a subspace [J].

Christensen, O .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1999, 42 (01) :37-45

[5] New perturbation results on pseudo-inverses of linear operators in Banach spaces [J].

Ding, J .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 362 :229-235

[6] Perturbation of generalized inverses of linear operators in Hilbert spaces [J].

Ding, J ;

Huang, LJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 198 (02) :506-515

[7] ON THE PERTURBATION OF THE LEAST-SQUARES SOLUTIONS IN HILBERT-SPACES [J].

DING, J ;

HUANG, LJ .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 212 :487-500

[8] Perturbation analysis of generalized inverses of linear operators in Banach spaces [J].

Huang, QL ;

Ma, JP .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 389 :355-364

[9]

Kato T., 1984, PERTURBATION THEORY

[10] Rank theorems of operators between Banach spaces [J].

Ma, J .

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2000, 43 (01) :1-5

← 1 2 →