Criteria for the Single-Valued Metric Generalized Inverses of Multi-Valued Linear Operators in Banach Spaces

被引：0
|
作者：
Yu Wen WANG [1 ]
Jian ZHANG [2 ]
Yun An CUI [2 ]
机构：
[1] Y. Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences,Harbin Normal University
[2] Department of Applied Mathematics, Harbin University of Science and Technology
来源：
Acta Mathematica Sinica,English Series | 2012年 / 03期
基金：
中国国家自然科学基金;
关键词：
Banach space; multi-valued linear operator; metric generalized inverse; criteria;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
Let X, Y be Banach spaces and M be a linear subspace in X × Y = {{x, y}|x ∈ X, y ∈ Y }. We may view M as a multi-valued linear operator from X to Y by taking M (x) = {y|{x, y} ∈ M }. In this paper, we give several criteria for a single-valued operator from Y to X to be the metric generalized inverse of the multi-valued linear operator M . The principal tool in this paper is also the generalized orthogonal decomposition theorem in Banach spaces.
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页码：637 / 644
页数：8
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