Normability of Probabilistic Normed Spaces

2004/08/23 by Bernardo Lafuerza--Guillen, Lafuerza--Guillen, Bernardo, Jose Antonio Rodriguez--Lallena +3
Mathematics · #46S50 #54E70 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Probability (math.PR) #math.FA #math.GN #math.PR #msc:46S50 #msc:54E70

paper · pdf · doi:10.48550/arxiv.math/0408305

8 pages

arxiv created 2004/08/23 · arxiv updated 2009/12/01

Abstract

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.

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