Some properties of continuous linear operators in topological vector PN-spaces
نویسندگان
چکیده مقاله:
The notion of a probabilistic metric space corresponds to thesituations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph Theorems in this spaces are proved.
منابع مشابه
some properties of continuous linear operators in topological vector pn-spaces
the notion of a probabilistic metric space corresponds to thesituations when we do not know exactly the distance. probabilistic metric space was introduced by karl menger. alsina, schweizer and sklar gave a general definition of probabilistic normed space based on the definition of menger [1]. in this note we study the pn spaces which are topological vector spaces and the open mapping an...
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عنوان ژورنال
دوره 1 شماره 1
صفحات 58- 64
تاریخ انتشار 2010-01-01
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