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.

引用

页码：637 / 644

页数：8

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