On metric characterizations of the Radon–Nikodým and related properties of Banach spaces

DOI10.1142/S1793525314500186zbMath1307.46007arXiv1302.5968OpenAlexW3103000185MaRDI QIDQ2874676

Mikhail I. Ostrovskii

Publication date: 8 August 2014

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

Full work available at URL: https://arxiv.org/abs/1302.5968

zbMATH Keywords

geodesicBanach spacereflexivitymartingaleRadon-Nikodým propertyLaakso spacediamond graphinfinite tree property

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Distance in graphs (05C12) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Duality and reflexivity in normed linear and Banach spaces (46B10) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Geometric embeddings of metric spaces (30L05)

Related Items (7)

Metric Characterizations of Some Classes of Banach Spaces ⋮ On the geometry of the countably branching diamond graphs ⋮ A submetric characterization of Rolewicz’s property $(\beta )$ ⋮ Umbel convexity and the geometry of trees ⋮ The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map ⋮ Characterization of reflexivity by convex functions ⋮ Thick families of geodesics and differentiation

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