ON THE STRUCTURE OF ASYMPTOTIC lp SPACES

DOI10.1093/qmath/ham026zbMath1156.46013arXivmath/0603063OpenAlexW2004896179MaRDI QIDQ5458242

András Zsák, Thomas Schlumprecht, Edward Odell

Publication date: 11 April 2008

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603063

zbMATH Keywords

reflexive Banach spaceunconditional basisZippin's theoremasymptotic \(\ell_p\) spacefinite dimensional decompositionTsirelson spacesweakly null tree\(V\)-lower (upper) estimate

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) 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 (11)

Direct sums and summability of the Szlenk index ⋮ Small subspaces of \(L_p\) ⋮ A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases ⋮ Operators on \(L_{p}\) \((2<p<\infty)\) which factor through \(X_{p}\) ⋮ Subspaces and quotients of Banach spaces with shrinking unconditional bases ⋮ CONCERNING SUMMABLE SZLENK INDEX ⋮ Infinite asymptotic games ⋮ Towards a characterization of the property of Lebesgue ⋮ The geometry of Hamming-type metrics and their embeddings into Banach spaces ⋮ Growth of orbits for operator semigroups on Banach spaces with Schauder bases ⋮ On the unconditional subsequence property

This page was built for publication: ON THE STRUCTURE OF ASYMPTOTIC lp SPACES