Bounded linear operators on finite dimensional probabilistic normed spaces
Probabilistic normed spaces were introduced by Serstnev and have been redefined by Alsina, Schweizer, and Sklar. In this paper, we obtain some conditions under which linear operators on finite dimensional probabilistic normed spaces are bounded and continuous.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2013-12-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v08/p02.pdf |
| Summary: | Probabilistic normed spaces were introduced by Serstnev and have been redefined by Alsina, Schweizer, and Sklar. In this paper, we obtain some conditions under which linear operators on finite dimensional probabilistic normed spaces are bounded and continuous. |
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| ISSN: | 1843-7265 1842-6298 |