Title of article :
Totally Probabilistic Lp spaces
Author/Authors :
Bahrami, Farid Department of Mathematical Sciences - Isfahan university of Technology, Isfahan , Mohammadbaghban, Mehdi Department of Mathematical Sciences - Isfahan university of Technology, Isfahan
Abstract :
In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-
negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is also
shown that if the distribution p satises p ≥ξ 1 then, as in the classical case, these spaces are complete
probabilistic normed spaces.
Keywords :
probabilistic normed space , probabilistic valued measure , probabilistic Lp spaces
Journal title :
Astroparticle Physics
