Perturbations of Moore–Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces

被引：6

作者：

Hai Feng MA ^{[1
]}

Shuang SUN ^{[1
]}

Yu Wen WANG ^{[1
]}

Wen Jing ZHENG ^{[2
]}

机构：

[1] School of Mathematical Science,Harbin Normal University

[2] Department of Mathematics,Hulunbuir College

来源：

Acta Mathematica Sinica(English Series) | 2014年 / 30卷 / 07期

关键词：

Banach space; Moore–Penrose metric generalized inverse; perturbation;

D O I：

暂无

中图分类号：

O177.1 [希尔伯特空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

In this paper,the perturbations of the Moore–Penrose metric generalized inverses of linear operators in Banach spaces are described.The Moore–Penrose metric generalized inverse is homogeneous and nonlinear in general,and the proofs of our results are different from linear generalized inverses.By using the quasi-additivity of Moore–Penrose metric generalized inverse and the theorem of generalized orthogonal decomposition,we show some error estimates of perturbations for the singlevalued Moore–Penrose metric generalized inverses of bounded linear operators.Furthermore,by means of the continuity of the metric projection operator and the quasi-additivity of Moore–Penrose metric generalized inverse,an expression for Moore–Penrose metric generalized inverse is given.

引用

页码：1109 / 1124

页数：16

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