Some properties of continuous linear operators in topological vector PN-spaces

Authors

1 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.

2 Departamento de Estadistica Ymatem'atica Aplicada, Universidad de Almeria, e-04120, Spain

3 Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran.

Abstract

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 [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.

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