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SOME PROPERTIES OF CONTINUOUS LINEAR OPERATORS IN TOPOLOGICAL VECTOR PN - SPACES
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نویسنده
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GHAEMI M.B. ,LAFUERZA-GUILL´EN B. ,SAIEDINEZHAD S.
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منبع
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international journal of nonlinear analysis and applications - 2010 - دوره : 1 - شماره : 1 - صفحه:58 -64
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چکیده
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The notion of a probabilistic metric space corresponds to the situations 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. 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.
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کلیدواژه
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continuous linear map ,homomorphism ,triangular function ,topological vector space.
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آدرس
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iran university of science and technology, Department of Mathematics, ایران, Universidad de Almeria, Departamento de estadistica ymatem'atica aplicada, Spain, iran university of science and technology, Department of Mathematics, ایران
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پست الکترونیکی
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ssaiedinezhad@iust.ac.ir
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Authors
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