Szlenk indices of convex hulls

DOI10.1016/j.jfa.2016.10.013zbMath1367.46009arXiv1504.06997OpenAlexW2962732680MaRDI QIDQ340965

Antonín Procházka, Matías Raja, Gilles Lancien

Publication date: 15 November 2016

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

Full work available at URL: https://arxiv.org/abs/1504.06997

zbMATH Keywords

measure of non-compactnessSzlenk indexrenorming Banach spaces

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

Direct sums and summability of the Szlenk index ⋮ Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness ⋮ \(\xi\)-asymptotically uniformly smooth, \(\xi\)-asymptotically uniformly convex, and (\(\beta\)) operators ⋮ Power type $\xi $-asymptotically uniformly smooth norms ⋮ Power type \(\xi\)-asymptotically uniformly smooth and \(\xi\)-asymptotically uniformly flat norms ⋮ The Szlenk index of injective tensor products and convex hulls

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• On weak* uniformly Kadec-Klee renormings
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• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces

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