A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases

DOI10.1215/00127094-2007-003zbMath1146.46003arXivmath/0702199OpenAlexW2060664771MaRDI QIDQ2475022

William B. Johnson, Ben Tuo Zheng

Publication date: 20 March 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702199

zbMATH Keywords

unconditional basic sequenceunconditional finite-dimensional decompositionunconditional tree property

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

On Zippin's embedding theorem of Banach spaces into Banach spaces with bases ⋮ On the geometry of the countably branching diamond graphs ⋮ Isometric embedding of Banach spaces under optimal projection constants ⋮ Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces ⋮ A \(c_0\) saturated Banach space with tight structure ⋮ Operators on \(L_{p}\) \((2<p<\infty)\) which factor through \(X_{p}\) ⋮ Subspaces and quotients of Banach spaces with shrinking unconditional bases ⋮ Analytic sets of Banach spaces ⋮ On the complete separation of asymptotic structures in Banach spaces ⋮ Banach lattice versions of strict singularity ⋮ A class of \(\ell^p\) saturated Banach spaces ⋮ On the unconditional subsequence property

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