Proximity to \(\ell_p\) and \(c_0\) in Banach spaces

DOI10.1016/j.jfa.2015.10.001zbMath1344.46007arXiv1502.05753OpenAlexW2515442395MaRDI QIDQ892670

Ryan M. Causey

Publication date: 11 November 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05753

zbMATH Keywords

embeddingRamsey theoryspreading modelfinite representabilityBourgain \(\ell_p\) index

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach sequence spaces (46B45) Ramsey theory (05D10)

Related Items (8)

An alternate description of the Szlenk index with applications ⋮ Szlenk and \(w^\ast\)-dentability indices of \(C(K)\) ⋮ A note on the relationship between the Szlenk and \(w^*\)-dentability indices of arbitrary \(w^*\)-compact sets ⋮ \(\xi\)-asymptotically uniformly smooth, \(\xi\)-asymptotically uniformly convex, and (\(\beta\)) operators ⋮ Quantitative factorization of weakly compact, Rosenthal, and $\xi$-Banach-Saks operators ⋮ \(\xi\)-completely continuous operators and \(\xi\)-Schur Banach spaces ⋮ The Szlenk index of injective tensor products and convex hulls ⋮ Classes of operators determined by ordinal indices

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