Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces

zbMath0723.46029MaRDI QIDQ756659

Gideon Schechtman, Paul F. X. Müller

Publication date: 1991

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

unconditional basisUMD spaceGamlen-Gaudet theoremHaar and Franklin systems are equivalentisomorphic structure of subsequences of the classical Haar functionsunconditional decompositionvector valued versions of several results concerning basis properties of \(L^ p\)-spaces

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) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) (H^p)-spaces (42B30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Other transformations of harmonic type (42C20)

Related Items (4)

Martingale type, the Gamlen-Gaudet construction and a greedy algorithm ⋮ Rearrangements with supporting trees, isomorphisms and shift operators ⋮ A decomposition theorem for singular integral operators on spaces of homogeneous type ⋮ The factorisation property ofl^∞(X_k)

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