Title of article
SOME PROPERTIES OF CONTINUOUS LINEAR OPERATORS IN TOPOLOGICAL VECTOR PN - SPACES
Author/Authors
GHAEMI, M.B Department of Mathematics - Iran University of Science and Technology - Narmak, Tehran , Lafuerza-Guill´en, B Departamento de estadistica ymatem´atica aplicada - universidad de almeria, Spain , SAIEDINEZHAD, S Department of Mathematics Iran University of Science and Technology - Narmak, Tehran
Pages
7
From page
58
To page
64
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
continuous linear map , homomorphism , triangular function , topological vector space
Journal title
Astroparticle Physics
Serial Year
2010
Record number
2440661
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