A characterization of continuous module homomorphisms on random semi-normed modules and its applications

被引：30

作者：

Guo, TX ^{[1
]}

Zhu, LH

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

[2] Xian AF Engn Coll, Div Basics, Xian 710038, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2003年 / 19卷 / 01期

关键词：

random semi-normed modules; continuous module homomorphisms; extension theorems;

D O I：

10.1007/s10114-002-0210-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a characterization of continuous module homomorphisms on random semi-normed modules is first given, then the characterization is further used to show that the Hahn-Banach type of extension theorem is still true for continuous module homomorphisms on random semi-normed modules.

引用

页码：201 / 208

页数：8

共 26 条

[1] A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications
Tie Xin Guo
Lin Hu Zhu
[J]. Acta Mathematica Sinica, 2003, 19 : 201 - 208
[2] Module Homomorphisms on Random Normed Modules
郭铁信
[J]. Communications in Mathematical Research, 1996, (01) : 102 - 114
[3] Semigroups of continuous module homomorphisms on complex complete random normed modules*
Dang Hung Thang
Ta Cong Son
Nguyen Thinh
[J]. Lithuanian Mathematical Journal, 2019, 59 : 229 - 250
[4] Semigroups of continuous module homomorphisms on complex complete random normed modules*
Dang Hung Thang
Ta Cong Son
Nguyen Thinh
[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2019, 59 (02) : 229 - 250
[5] On Some Basic Theorems of Continuous Module Homomorphisms between Random Normed Modules
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[6] ON CONTINUOUS MODULE HOMOMORPHISMS BETWEEN RANDOM LOCALLY CONVEX MODULES
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[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (05) : 933 - 944
[7] A noncompact Schauder fixed point theorem in random normed modules and its applications
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Xu, Hong-Kun
Yuan, George Xianzhi
Chen, Goong
[J]. MATHEMATISCHE ANNALEN, 2024,
[8] A Characterization for a Complete Random Normed Module to Be Mean Ergodic
Zhang, Xia
Liu, Ming
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (07) : 899 - 910
[9] A characterization for a complete random normed module to be mean ergodic
Xia Zhang
Ming Liu
[J]. Acta Mathematica Sinica, English Series, 2017, 33 : 899 - 910
[10] A Characterization for a Complete Random Normed Module to Be Mean Ergodic
Xia ZHANG
Ming LIU
[J]. Acta Mathematica Sinica., 2017, 33 (07) - 910

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