Title of article :
Menger probabilistic normed space is a category topological vector space
Author/Authors :
Sadeqi، Ildar نويسنده Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran. , , Yaqub Azari، Farnaz نويسنده University of Payame noor, Tabriz, Iran. ,
Issue Information :
دوفصلنامه با شماره پیاپی سال 2016
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.
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis