Additivity of the variance is a characteristic property of the Hilbert space \(L_ 2(\Omega,{\mathfrak A},\mu)\)

DOI10.1007/BF01078106zbMATH Open0532.46011MaRDI QIDQ788956

G. I. Bajdak, Yu. I. Petunin, Michael Braverman

Publication date: 1983

Published in: Functional Analysis and Its Applications (Search for Journal in Brave)

zbMATH Keywords

dispersionrandom variablerearrangement-invariant Banach function space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Probabilistic measure theory (60A10)

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