A metric interpretation of reflexivity for Banach spaces

DOI10.1215/00127094-2017-0021zbMath1386.46024arXiv1604.07271OpenAlexW3106198173MaRDI QIDQ1681617

Pavlos Motakis, Thomas Schlumprecht

Publication date: 24 November 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07271

zbMATH Keywords

reflexive Banach spaceSzlenk indexmetric characterization of Banach spacesSchreier family

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (4)

On the geometry of the countably branching diamond graphs ⋮ Power type \(\xi\)-asymptotically uniformly smooth and \(\xi\)-asymptotically uniformly flat norms ⋮ Characterization of reflexivity by convex functions ⋮ Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)

This page was built for publication: A metric interpretation of reflexivity for Banach spaces