随机赋范空间算子随机范数与Hahn-Banach延拓定理  

Random Norm of Operators in the Random Normed Spaces and Hahn-Banach Theorem

作　　者：王秀珍[1] 苏永福[2] 

机构地区：[1]河北农业大学理学院,河北保定071001 [2]天津工业大学理学院数学系,天津300160

出　　处：《数学的实践与认识》2010年第1期246-252,共7页Mathematics in Practice and Theory

摘　　要：基于概率测度理论基础,研究了随机赋范空间中算子随机范数,得到了线性算子空间与线性泛函的若干随机化结果与随机化的Hahn-Banach延拓定理.结果可能成为随机泛函分析与概率论及应用的理论工具.This article will investigate the random norm of operators in the random normed spaces, and give some stochastic results about linear operators and linear functional, The another purpose of this article is to give the stochastic Hahn-Banach theorem. The results of this article will be tO devoted to the possible of applications of random functional analysis and probability theory, as a new tool.

关 键 词：随机赋范空间 线性算子 线性泛函 随机范数 延拓定理 

分 类 号：O177[理学—数学]