Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces

被引：0

作者：

Hai Feng Ma

Henryk Hudzik

Yu Wen Wang

机构：

[1] Harbin Normal University,School of Mathematical Science

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

[3] Harbin Normal University,Yuan

来源：

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

关键词：

Continuous homogeneous selection; metric generalized inverse; approximative compactness; metric projection; 47A05; 47A58; 46B20;

D O I：

暂无

中图分类号：

学科分类号：

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：11

共 50 条

[1] Continuous Homogeneous Selections of Set-Valued Metric Generalized Inverses of Linear Operators in Banach Spaces
Hai Feng MA
Henryk HUDZIK
Wen WANG
[J]. Acta Mathematica Sinica,English Series, 2012, (01) : 45 - 56
[2] Continuous Homogeneous Selections of Set-Valued Metric Generalized Inverses of Linear Operators in Banach Spaces
Hai Feng MA
Henryk HUDZIK
Wen WANG
[J]. ActaMathematicaSinica., 2012, 28 (01) - 56
[3] Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces
Ma, Hai Feng
Hudzik, Henryk
Wang, Yu Wen
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (01) : 45 - 56
[4] Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces
Shang, Shaoqiang
Cui, Yunan
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 15 (01)
[5] Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces
Shaoqiang Shang
Yunan Cui
[J]. Banach Journal of Mathematical Analysis, 2021, 15
[6] Continuity points and continuous selections of the set-valued metric generalized inverse in Banach spaces
Shaoqiang Shang
Yunan Cui
[J]. Israel Journal of Mathematics, 2019, 234 : 209 - 228
[7] CONTINUITY POINTS AND CONTINUOUS SELECTIONS OF THE SET-VALUED METRIC GENERALIZED INVERSE IN BANACH SPACES
Shang, Shaoqiang
Cui, Yunan
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2019, 234 (01) : 209 - 228
[8] Continuous Selections of the Set-Valued Metric Generalized Inverse in 2-Strictly Convex Banach Spaces
Shaoqiang Shang
[J]. Acta Mathematica Scientia, 2022, 42 : 1225 - 1237
[9] Continuous Selections of the Set-Valued Metric Generalized Inverse in 2-Strictly Convex Banach Spaces
Shang, Shaoqiang
[J]. ACTA MATHEMATICA SCIENTIA, 2022, 42 (03) : 1225 - 1237
[10] Criteria for the Single-Valued Metric Generalized Inverses of Multi-Valued Linear Operators in Banach Spaces
Yu Wen WANG
Jian ZHANG
Yun An CUI
[J]. Acta Mathematica Sinica,English Series, 2012, (03) : 637 - 644

← 1 2 3 4 5 →