MENGER PROBABILISTIC NORMED SPACE IS A CATEGORY TOPOLOGICAL VECTOR SPACE
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: Persian
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شناسه ملی سند علمی:
JR_SCMA-3-2_003
تاریخ نمایه سازی: 15 شهریور 1395
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.