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

被引：4

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 University

来源：

Acta Mathematica Sinica | 2012年 / 28卷 / 01期

关键词：

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：

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.

引用

页码：45 / 56

页数：12

共 9 条

[1]

Approximative compactness and continuity of metric projector in Banach spaces and applications.[J].HUDZIK Henryk;KOWALEWSKI Wojciech;WISLA Marek;.Science in China(Series A:Mathematics).2008, 02

[2] COMPONENTWISE CONDITION NUMBERS FOR GENERALIZED MATRIX INVERSION AND LINEAR LEAST SQUARES [J].

魏益民 ;

许威 ;

乔三正 ;

刁怀安 .

NumericalMathematicsAJournalofChineseUniversities(EnglishSeries), 2005, (03) :277-286

[3]

METRIC GENERALIZED INVERSE OF LINEAR OPERATOR IN BANACH SPACE.[J]..Chinese Annals of Mathematics.2003, 04

[4]

(1.2)INVERSES OF OPERATORS BETWEEN BANACH SPACES AND LOCAL CONJUGACY THEOREM.[J]..Chinese Annals of Mathematics.1999, 01

[5]

Least Extremal Solutions of Ill-Posed Neumann Boundary Value Problem for Semilinear Elliptic Equations in L <sup> p </sup>.[J].Xiaoling Wang;Hui Wang;Guanqi Liu;Yuwen Wang.Numerical Functional Analysis and Optimization.2009, 3-4

[6] Orthogonally complemented subspaces in Banach spaces [J].

Hudzik, Henryk ;

Wang, Yuwen ;

Sha, Ruli .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) :779-790

[7] Criteria for the metric generalized inverse and its selections in banach spaces [J].

Hudzik, Henryk ;

Wang, Yuwen ;

Zheng, Wenjing .

SET-VALUED ANALYSIS, 2008, 16 (01) :51-65

[8]

Convergence of Newton-like methods for singular operator equations using outer inverses.[J].M. Z. Nashed;X. Chen.Numerische Mathematik.1994, 1

[9]

A unified approach to generalized inverses of linear operators: II. Extremal and proximal properties.[J].M. Z. Nashed;G. F. Votruba.bull.1974, 5

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