| 随机赋范空间算子随机范数与Hahn-Banach延拓定理 |
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| 引用本文： | 王秀珍,苏永福. 随机赋范空间算子随机范数与Hahn-Banach延拓定理[J]. 数学的实践与认识, 2010, 40(1) |
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| 作者姓名： | 王秀珍 苏永福 |
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| 作者单位： | 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 |
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| 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.
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| 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 |
Random Norm of Operators in the Random Normed Spaces and Hahn-Banach Theorem |
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| WANG Xiu-zhen,SU Yong-fu. Random Norm of Operators in the Random Normed Spaces and Hahn-Banach Theorem[J]. Mathematics in Practice and Theory, 2010, 40(1) |
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| Authors: | WANG Xiu-zhen SU Yong-fu |
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| Affiliation: | WANG Xiu-zhen1,SU Yong-fu2(1.College of Science,Hebei Agricultural University,Baoding 071001,China)(2.Department of Mathematics,School of Science,Tianjin Polytechnic University,Tianjin 300160,China) |
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| Abstract: | 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. |
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| Keywords: | Random normed spaces Linear operators Linear functional Random norm Hahn-Banach theorem |
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