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

Authors

  • L. Guillen Departamento de estadistica ymatem'atica aplicada, universidad de almeria, e-04120, Spain
  • M. B. Ghaemi Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
  • S. Saiedinezhad Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran.
Abstract:

The notion of a probabilistic metric  space  corresponds to thesituations 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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Journal title

volume 1  issue 1

pages  58- 64

publication date 2010-01-01

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