Compact spaces of Szlenk index \(\omega\)

DOI10.1016/j.jmaa.2012.02.011zbMath1257.46007OpenAlexW2034558106MaRDI QIDQ412457

J. Herrera, H. S. Yoon

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.011

zbMATH Keywords

Szlenk index\(l_p\) spacesuniformly Kadec-Klee norm

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (3)

Uniformly convex renormings and generalized cotypes ⋮ Compact convex sets that admit a lower semicontinuous strictly convex function ⋮ Finite slicing in superreflexive Banach spaces

Cites Work

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• The Szlenk index of Orlicz sequence spaces
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• Opérateurs uniformément convexifiants
• Pointwise uniformly rotund norms
• Embedding $\ell _1$ as Lipschitz functions
• Descriptive compact spaces and renorming
• Banach spaces of bounded Szlenk index
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
• Biorthogonal systems in Banach spaces
• Functional analysis and infinite-dimensional geometry

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