Continuous Homogeneous Selections of Set-Valued Metric Generalized Inverses of Linear Operators in Banach Spaces

被引：3

作者：

Hai Feng MA ^{[1
]}

Henryk HUDZIK ^{[2
]}

Wen WANG ^{[3
]}

机构：

[1] School of Mathematical Science,Harbin Normal University

[2] Faculty of Mathematics and Computer Science,Adam Mickiewicz University

[3] Yuan-Yung Tseng Functional Analysis Research Center,Harbin Normal

来源：

ActaMathematicaSinica | 2012年 / 28卷 / 01期

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中图分类号：

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摘要：

In this paper,continuous homogeneous selections for the set-valued metric generalized inverses T of linear operators T in Banach spaces are investigated by means of the methods of geometry of Banach spaces.Necessary and sufficient conditions for bounded linear operators T to have continuous homogeneous selections for the set-valued metric generalized inverses T are given.The results are an answer to the problem posed by Nashed and Votruba.

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页码：45 / 56

页数：12

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