The Szlenk index of 𝐿_{𝑝}(𝑋) and 𝐴_{𝑝}

DOI10.1090/proc/14353zbMath1506.46006arXiv1701.06226OpenAlexW2963389744MaRDI QIDQ5096652

Ryan M. Causey

Publication date: 18 August 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06226

zbMATH Keywords

Szlenk indexAsplund operatorsSzlenk power typeBochner \(L^p\)-spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28)

Cites Work

• Unnamed Item
• An alternate description of the Szlenk index with applications
• The Szlenk index of injective tensor products and convex hulls
• 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
• Asplund operators and the Szlenk index
• Power type $\xi $-asymptotically uniformly smooth norms
• The Szlenk index of L _p (X )

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