ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Menger probabilistic normed space is a category topological vector space

Journal: Sahand Communications in Mathematical Analysis (Vol.3, No. 2)

Publication Date:

Authors : ; ;

Page : 25-32

Keywords : Category of probabilistic normed space; Category of topological vector space; Fuzzy continuous operator;

Source : Download Find it from : Google Scholarexternal

Abstract

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces in probabilistic normed spaces.

Last modified: 2016-08-06 15:41:05