A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications

被引：0

作者：

Tie Xin Guo

Lin Hu Zhu

机构：

[1] Xiamen University,Department of Mathematics

[2] Xi'an Air-Force Engineering Colloge,Division of Basics

来源：

Acta Mathematica Sinica | 2003年 / 19卷

关键词：

Random semi-normed modules; Continuous module homomorphisms; Extension theorems; 60H25; 60G99; 46A22; 46A16;

D O I：

暂无

中图分类号：

学科分类号：

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：7

共 26 条

[1] A characterization of continuous module homomorphisms on random semi-normed modules and its applications
Guo, TX
Zhu, LH
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 19 (01) : 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
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[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
Zhang, Xia
[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
Guo, Tiexin
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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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