Linear operators in finite dimensional probabilistic normed spaces

被引：9
|
作者：
Saadati, Reza [1 ,2 ]
Vaezpour, S. Mansour [2 ]
机构：
[1] Univ Shomal, Fac Sci, Amol, Iran
[2] Amir Kabir Univ Technol, Dept Math & Comp Sci, Tehran 15914, Iran
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 346卷 / 02期
关键词：
probabilistic normed space; bounded linear operator; finite dimensional space; completeness; topologically isomorphism; triangle functions;
D O I：
10.1016/j.jmaa.2008.05.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces. Then we prove that every finite dimensional probabilistic normed space which is a topological vector space is complete. (C) 2008 Elsevier Inc. All rights reserved.
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页码：446 / 450
页数：5
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