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Linear operators in finite dimensional probabilistic normed spaces |
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| Authors: | Reza Saadati S Mansour Vaezpour |
| Institution: | a Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran b Faculty of Sciences, University of Shomal, Amol, PO Box 731, Iran |
| Abstract: | 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. |
| Keywords: | Probabilistic normed space Bounded linear operator Finite dimensional space Completeness Topologically isomorphism Triangle functions |
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