Normability of probabilistic normed spaces


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 paces nd provide a characterization of normable Šerstnev spaces. We also study the normability of other two classes of probabilistic normed spaces.

DOI Code: 10.1285/i15900932v29n1p99

54E70; 46S50

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