menger probabilistic normed space is a category topological vector space
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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.
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Journal title:
sahand communications in mathematical analysisجلد ۳، شماره ۲، صفحات ۲۵-۳۲
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