Mathematics – General Topology
Scientific paper
2004-08-23
Mathematics
General Topology
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.
Lafuerza--Guillen Bernardo
Rodriguez--Lallena Jose Antonio
Sempi Carlo
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