The Szlenk index of L p (X )

DOI10.1112/blms/bdt106zbMath1314.46009arXiv1308.3629OpenAlexW2043967401MaRDI QIDQ5409123

Thomas Schlumprecht, Petr Hájek

Publication date: 14 April 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3629

zbMATH Keywords

Szlenk indexdentability indexAsplund space

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

Szlenk indices of convex hulls ⋮ Szlenk and \(w^\ast\)-dentability indices of \(C(K)\) ⋮ The Szlenk index of 𝐿_{𝑝}(𝑋) and 𝐴_{𝑝} ⋮ A note on the relationship between the Szlenk and \(w^*\)-dentability indices of arbitrary \(w^*\)-compact sets

Cites Work

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• Weak\(^*\) dentability index of spaces \(C([0,\alpha )\)]
• Convex functions, monotone operators and differentiability
• Banach spaces which are Asplund spaces
• The separable extension problem
• An extension theorem for separable Banach spaces
• Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Dentability indices with respect to measures of non-compactness
• The Szlenk index and local \(\ell_1\)-indices
• Fréchet differentiability of convex functions
• Banach space theory. The basis for linear and nonlinear analysis
• Estimation of the Szlenk index of Banach spaces via Schreier spaces
• Banach spaces of bounded Szlenk index II
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• Banach spaces of bounded Szlenk index
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces