COARSE EMBEDDINGS INTO A HILBERT SPACE, HAAGERUP PROPERTY AND POINCARÉ INEQUALITIES

DOI10.1142/S1793525309000047zbMath1178.46018arXiv0802.2541MaRDI QIDQ3632301

Romain Tessera

Publication date: 23 June 2009

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

Full work available at URL: https://arxiv.org/abs/0802.2541

zbMATH Keywords

Hilbert spacemetric spaceBanach spacecoarse embedding

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Distance in graphs (05C12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items

The coarse Baum-Connes conjecture for certain relative expanders, Stochastic approximation of lamplighter metrics, Coarse directed limits of metric spaces admitting coarse embeddings into Hilbert spaces, Amenable groups with very poor compression into Lebesgue spaces, A generalization of expander graphs and local reflexivity of uniform Roe algebras, Box spaces of the free group that neither contain expanders nor embed into a Hilbert space, Remarks on partitions into expanders, On the structure of asymptotic expanders, Relative expanders

Cites Work

• Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
• Martingales with values in uniformly convex spaces
• On embedding expanders into \(\ell_p\) spaces
• Isometric group actions on Hilbert spaces: growth of cocycles
• Metric spaces and completely monontone functions
• Relative Kazhdan Property
• Unbounded Negative Definite Functions
• EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS