Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces

DOI10.1016/j.jmaa.2005.07.013zbMath1106.46015OpenAlexW2025109551MaRDI QIDQ2493027

Jinxiu Li, Qin Wang

Publication date: 9 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.013

zbMATH Keywords

metric spaceBanach spaceultraproductcoarse geometryNovikov conjecture

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Special maps on metric spaces (54E40) Nonlinear functional analysis (46T99)

Related Items (2)

Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces ⋮ A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space

Cites Work

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• The coarse geometric Novikov conjecture and uniform convexity
• Nonstandard methods in fixed point theory
• The coarse Baum-Connes conjecture and groupoids
• Counterexamples to the Baum-Connes conjecture
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Warped cones and property A
• Uniform Embeddings into Hilbert Space and a Question of Gromov
• Uniform embeddings of bounded geometry spaces into reflexive Banach space
• Coarse embeddings of metric spaces into Banach spaces
• Constructions preserving Hilbert space uniform embeddability of discrete groups

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