PERTURBATION ANALYSIS FOR THE MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS

被引：12

作者：

Du, Fapeng ^{[1
,2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211100, Jiangsu, Peoples R China

[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Dept Math, Xuzhou 221008, Jiangsu, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 9卷 / 04期

关键词：

Banach space; Moore-Penrose metric generalized inverse; Gap between homogeneous subsets; BANACH-SPACES; STABLE PERTURBATION; SELECTIONS;

D O I：

10.15352/bjma/09-4-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Utilizing the gap between homogenous subsets which is introduced in this paper, the perturbations for the Moore Penrose metric generalized inverses of bounded linear operators in Banach spaces are discussed. Under range preseving, kernel preseving and general case, respectively, we get some new results about error estimate of the perturbations for the Moore Penrose metric generalized inverse of bounded linear operators.

引用

页码：100 / 114

页数：15

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