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

E.Ostrovsky; L.Sirota

arxiv: 1410.3040 · v1 · pith:VZUZPP7Onew · submitted 2014-10-12 · 🧮 math.PR

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

E.Ostrovsky , L.Sirota This is my paper

classification 🧮 math.PR

keywords banachbelongscompactlinearnon-randomoperatorrandomseparable

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

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