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

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