Normability of Probabilistic Normed Spaces
General Topology
2007-05-23 v1 Functional Analysis
Probability
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 \v{S}erstnev spaces. We also study the normability of other two classes of Probabilistic Normed Spaces.
Keywords
Cite
@article{arxiv.math/0408305,
title = {Normability of Probabilistic Normed Spaces},
author = {Bernardo Lafuerza--Guillen and Jose Antonio Rodriguez--Lallena and Carlo Sempi},
journal= {arXiv preprint arXiv:math/0408305},
year = {2007}
}
Comments
8 pages