Each Random Variable in separable Banach Space belongs to the Domain of Definition of some inverse to compact linear non-random operator

2014/10/12 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1410.3040

arxiv created 2014/10/12 · arxiv updated 2014/10/14

Abstract

We give in this short report a very simple proof that arbitrary random variable with Borelian distribution in separable Banach space belongs with probability one to a pre-image of some linear compact non-random operator.

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