Normability of Probabilistic Normed Spaces
一般拓扑
2007-05-23 v1 泛函分析
概率论
摘要
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.
引用
@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}
}
备注
8 pages