A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES

doi:10.1016/S0252-9602(17)30095-4

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1619-1631.doi: 10.1016/S0252-9602(17)30095-4

A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES

王紫, 王玉文

Yuan-Yung Tseng Functional Analysis Research Center, School of Mathematics Science, Harbin Normal University, Harbin 150025, China

收稿日期:2016-09-21 出版日期:2017-12-25 发布日期:2017-12-25
作者简介:Zi WANG,zi_wang@aliyun.com;Yuwen WANG,wangyuwen1950@aliyun.com
基金资助:
Supported by the Nature Science Foundation of China (11471091 and 11401143).

A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES

Zi WANG, Yuwen WANG

Yuan-Yung Tseng Functional Analysis Research Center, School of Mathematics Science, Harbin Normal University, Harbin 150025, China

Received:2016-09-21 Online:2017-12-25 Published:2017-12-25
Supported by:
Supported by the Nature Science Foundation of China (11471091 and 11401143).

摘要/Abstract

摘要：

In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is "the generalized Neumann lemma" which is quite different from the method in[12] where "the generalized Banach lemma" was used. By the method of the perturbation analysis of bounded linear operators, we obtain an explicit perturbation theorem and three inequalities about error estimates for the Moore-Penrose metric generalized inverse of bounded linear operator under the generalized Neumann lemma and the concept of stable perturbations in Banach spaces.

关键词: Banach space, bounded linear operator, metric projection, generalized inverse, perturbation analysis, Moore-Penrose, quasi-additive

Abstract:

Key words: Banach space, bounded linear operator, metric projection, generalized inverse, perturbation analysis, Moore-Penrose, quasi-additive

王紫, 王玉文. A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES[J]. 数学物理学报(英文版), 2017, 37(6): 1619-1631.

Zi WANG, Yuwen WANG. A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES[J]. Acta mathematica scientia,Series B, 2017, 37(6): 1619-1631.

参考文献

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A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES

A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES

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