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

被引：16

作者：

Ma, Hai Feng ^{[1
]}

Sun, Shuang ^{[1
]}

Wang, Yu Wen ^{[1
]}

Zheng, Wen Jing ^{[2
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

[2] Hulunbuir Coll, Dept Math, Hailar 021008, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 07期

基金：

美国国家科学基金会;

关键词：

Banach space; Moore-Penrose metric generalized inverse; perturbation; SELECTIONS;

D O I：

10.1007/s10114-014-3340-z

中图分类号：

O29 [应用数学];

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 single-valued 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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