Independent functions and the geometry of Banach spaces

DOI10.1070/RM2010v065n06ABEH004715zbMath1219.46025OpenAlexW1995075695MaRDI QIDQ2996213

Pheodor A. Sukochev, Serguei V. Astashkin

Publication date: 6 May 2011

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2010v065n06abeh004715

zbMATH Keywords

Lorentz spaceOrlicz space\(K\)-functionalsymmetric spaceMarcinkiewicz spaceBoyd indicesintegral-uniform normindependent functionsKruglov operatorKruglov propertyreal method of interpolationRosenthal inequalitiesKhinchin inequalities

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) Geometry and structure of normed linear spaces (46B20) Probabilistic methods in Banach space theory (46B09) Interpolation between normed linear spaces (46B70) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Probability theory on linear topological spaces (60B11)

Related Items (13)

\(\Phi\)-moment inequalities for independent and freely independent random variables ⋮ On subspaces generated by independent functions in symmetric spaces with the Kruglov property ⋮ Rosenthal type inequalities for martingales in symmetric spaces ⋮ On subspaces spanned by freely independent random variables in noncommutative \(L_p\)-spaces ⋮ Rosenthal’s inequalities: ${\Delta }$-norms and quasi-Banach symmetric sequence spaces ⋮ Randomized operators on \({n\times n}\) matrices and applications ⋮ Embeddings of operator ideals into \(\mathcal{L}_p\)-spaces on finite von Neumann algebras ⋮ Johnson-Schechtman inequalities in the free probability theory ⋮ Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces ⋮ Martingale transforms of the Rademacher sequence in rearrangement invariant spaces ⋮ Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory ⋮ Approximation of subspaces of symmetric spaces generated by independent functions ⋮ Rosenthal's space revisited

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