Normability of Probabilistic Normed Spaces
Bernardo Lafuerza--Guillen, Jose Antonio Rodriguez--Lallena, Carlo Sempi
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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