On uniqueness of distribution of a random variable whose independent copies span a subspace in $L_p$

DOI10.4064/SM8089-1-2016zbMath1345.46020arXiv1406.4950OpenAlexW2964132294MaRDI QIDQ2787142

Dmitriy Zanin, Serguei V. Astashkin, Pheodor A. Sukochev

Publication date: 24 February 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4950

zbMATH Keywords

Orlicz sequence spaceindependent random variablessubspaces\(L_p\)-space\(p\)-convex function\(q\)-concave function

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) Classical Banach spaces in the general theory (46B25) Probabilistic methods in Banach space theory (46B09)

Related Items (5)

The distribution of a random variable whose independent copies span \(\ell_M\) is unique ⋮ On subspaces of an Orlicz space spanned by independent identically distributed functions ⋮ On subspaces spanned by freely independent random variables in noncommutative \(L_p\)-spaces ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\) ⋮ On symmetric spaces containing isomorphic copies of Orlicz sequence spaces

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