On alpha-Serstnev probabilistic normed spaces

Abstract

In this article, the condition alpha-S is defined for alpha in ]0,1[U]1, +infty[ and several clases of alpha-Serstnev PN spacesd, the relationship between alpha-simple PN spaces and alpha-Serstnev PN spaces and a study of PN spaces of linear operators wich are alpha-Serstnev PN spaces are given.