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.

Keywords