Normability of Probabilistic Normed Spaces

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Relying on Kolmogorov's classical characterization of normable Topological Vector spaces, we study the normability of those Probabilistic Normed Spaces that are also Topological Vector spaces and provide a characterization of normable Šerstnev spaces. We also study the normability of other two classes of Probabilistic Normed Spaces.
8 pages

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General Topology, Functional Analysis, Probability, 54E70; 46S50

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http://salesiana.dossiersoluciones.com/handle/123456789/72251

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408305
 http://arxiv.org/abs/math/0408305

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arXiv