Some classes of probabilistic normed spaces
Copyright policy )Some classes of probabilistic normed spaces
We begin the study of probabilistic normed spaces (briefly PN spaces ) by giving several examples; (a)we present a detailed study of alpha-simple spaces, (b) construct a PN spaceon the vector space of (equivalence classes) of random variables and (c) show that its probabilistic norm alone generates the normes of all L^p and Orlicz spaces.
- University of Salento Italy
- University of Almería Spain
probabilistic normed spaces, Functional analysis in probabilistic metric linear spaces, Probability theory on linear topological spaces, QA1-939, Probabilistic metric spaces, Probabilistic methods in Banach space theory, Orlicz space, \(L^p\)-space, Mathematics, triangle inequality
probabilistic normed spaces, Functional analysis in probabilistic metric linear spaces, Probability theory on linear topological spaces, QA1-939, Probabilistic metric spaces, Probabilistic methods in Banach space theory, Orlicz space, \(L^p\)-space, Mathematics, triangle inequality
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