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
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
收藏
页码:1109 / 1124
页数:16
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