Some classes of probabilistic normed spaces
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1997Resumen
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.
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Mathematics