Sequences of independent functions and structure of rearrangement invariant spaces

DOI10.4213/rm10171eMaRDI QIDQ6639448

Sergey V. Astashkin

Publication date: 15 November 2024

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

zbMATH Keywords

Orlicz functionprojectionrearrangement invariant spaceOrlicz spacecomplemented subspaceRosenthal's inequalitiesBoyd indicesindependent functionsKruglov property\(L_p\)-space\(p\)-concave function\(p\)-convex function\( \mathcal{K}\)-functional

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 methods in Banach space theory (46B09) Interpolation between normed linear spaces (46B70) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Nonseparable Banach spaces (46B26)

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