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

International Journal of Nonlinear Analysis and Applications

Volume 1, Issue 1
Winter and Spring 2010
Pages 58-64

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