Normability of Probabilistic Normed Spaces

Mathematics – General Topology

Scientific paper

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8 pages

Scientific paper

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 \v{S}erstnev spaces. We also study the normability of other two
classes of Probabilistic Normed Spaces.

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