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A Characterization of Continuous Module Homomorphisms on Random Semi—Normed Modules and Its Applications
作者姓名:TieXinGUO
作者单位:DepartmentofMathematics,XiamenUniversity,Xiamen361005
摘    要:In this paper,a characterization of continuous module homomorphisms on random seminormed 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.

关 键 词:随机半赋范模  连续模同态  扩张定理  应用  特征  哈恩-巴拿赫扩张定理
收稿时间:11 October 1999

A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications
TieXinGUO.A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications[J].Acta Mathematica Sinica,2003,19(1):201-208.
Authors:Email author" target="_blank">Tie?Xin?GuoEmail author  Lin?Hu?Zhu
Institution:(1) Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China;(2) Division of Basics, Xi'an Air-Force Engineering Colloge, Xi'an 710038, P. R. China
Abstract: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. The first author of this paper is supported in part by the Foundation for University Key Teachers of the Ministry of Education of China, the National Natural Science Foundation of China (No. 10071063) and the Natural Science Foundation of Fujian Province of China (F99027). Erratum: GRANVILLE Andrew (Department of Mathematics, University of Geogia, Athens, GA30602, USA) is not an author of the following paper: On the Residues of Binomial Coefficients and Their Products Modulo Prime Powers, Acta Mathematica Sinica (English Series), 18(2), 277–288 (2002)
Keywords:Random semi-normed modules  Continuous module homomorphisms  Extension theorems
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