PERTURBATION ANALYSIS OF BOUNDED HOMOGENEOUS GENERALIZED INVERSES ON BANACH SPACES

被引：0

作者：

Cao, Jianbing ^{[1
]}

Xue, Yifeng ^{[2
]}

机构：

[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Henan, Peoples R China

[2] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2014年 / 83卷 / 02期

关键词：

Homogeneous operator; stable perturbation; quasi-additivity; generalized-inverse;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X, Y be Banach spaces and T: X -> Y be a bounded linear operator. In this paper, we initiate the study of the perturbation problems for bounded homogeneous generalized inverse T-h and quasi-linear projector generalized inverse T-H of T. Some applications to the representations and perturbations of the Moore-Penrose metric generalized inverse T-M of T are also given. The obtained results in this paper extend some well-known results for linear operator generalized inverses in this field.

引用

页码：181 / 194

页数：14

共 50 条

[11] Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces
Hai Feng Ma
Henryk Hudzik
Yu Wen Wang
Acta Mathematica Sinica, English Series, 2012, 28 : 45 - 56
[12] Continuous Homogeneous Selections of Set-Valued Metric Generalized Inverses of Linear Operators in Banach Spaces
Hai Feng MA
Henryk HUDZIK
Wen WANG
Acta Mathematica Sinica, 2012, 28 (01) : 45 - 56
[13] Continuous Homogeneous Selections of Set-Valued Metric Generalized Inverses of Linear Operators in Banach Spaces
Hai Feng MA
Henryk HUDZIK
Wen WANG
Acta Mathematica Sinica,English Series, 2012, (01) : 45 - 56
[14] Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces
Ma, Hai Feng
Hudzik, Henryk
Wang, Yu Wen
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (01) : 45 - 56
[15] APPROXIMATE METHODS FOR GENERALIZED INVERSES OF OPERATORS IN BANACH-SPACES
KUANG, JX
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1993, 11 (04): : 323 - 328
[16] INNER, OUTER, AND GENERALIZED INVERSES IN BANACH AND HILBERT-SPACES
NASHED, MZ
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1987, 9 (3-4) : 261 - 325
[17] Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces
Zhu, C
Cai, J
Chen, GL
APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (01) : 13 - 21
[18] Generalized Inverses of Bounded Finite Potent Operators on Hilbert Spaces
Pablos Romo, Fernando
FILOMAT, 2022, 36 (18) : 6139 - 6158
[19] Perturbation of null spaces with application to the eigenvalue problem and generalized inverses
Avrachenkov, KE
Haviv, M
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 369 : 1 - 25
[20] Perturbation Analysis for Oblique Projection Generalized Inverses
Du, Fapeng
Nashed, M. Zuhair
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (14) : 1728 - 1740

← 1 2 3 4 5 →