# 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.

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.

Keywords