Criteria for the single-valued metric generalized inverses of multi-valued linear operators in banach spaces

被引：0

作者：

Yu Wen Wang

Jian Zhang

Yun An Cui

机构：

[1] Harbin Normal University,Y. Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences

[2] Harbin University of Science and Technology,Department of Applied Mathematics

来源：

Acta Mathematica Sinica, English Series | 2012年 / 28卷

关键词：

Banach space; multi-valued linear operator; metric generalized inverse; criteria; 47A06;

D O I：

暂无

中图分类号：

学科分类号：

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：7

共 15 条

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[9]

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