Uniform embeddings of bounded geometry spaces into reflexive Banach space

DOI10.1090/S0002-9939-05-07721-XzbMath1069.46003arXivmath/0309198MaRDI QIDQ4663457

Nathanial P. Brown, Erik Guentner

Publication date: 31 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0309198

zbMATH Keywords

metric spaceBanach spacediscrete groupuniform embedding

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Isomorphic theory (including renorming) of Banach spaces (46B03)

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Property \((T)\) and rigidity for actions on Banach spaces ⋮ Metric Characterizations of Some Classes of Banach Spaces ⋮ The coarse geometric Novikov conjecture and uniform convexity ⋮ Barycentric gluing and geometry of stable metrics ⋮ Group actions on Banach spaces and a geometric characterization of a-T-menability ⋮ A quasi-isometric embedding theorem for groups. ⋮ Higher invariants in noncommutative geometry ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS ⋮ The Novikov conjecture and geometry of Banach spaces ⋮ Characterizations of universal finite representability and \(b\)-convexity of Banach spaces via ball coverings ⋮ Coarse embedding into uniformly convex Banach spaces ⋮ Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces ⋮ Embeddings of locally finite metric spaces into Banach spaces ⋮ Sphere equivalence, Property H, and Banach expanders ⋮ The Novikov conjecture ⋮ Compression functions of uniform embeddings of groups into Hilbert and Banach spaces ⋮ Nonpositive curvature is not coarsely universal ⋮ Embeddability of locally finite metric spaces into Banach spaces is finitely determined

Cites Work

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• The coarse geometric Novikov conjecture and uniform convexity
• On embedding expanders into \(\ell_p\) spaces
• The coarse Baum-Connes conjecture and groupoids
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The Novikov conjecture for linear groups
• Remarks on Yu’s ‘property A’ for discrete metric spaces and groups
• Amenable actions and exactness for discrete groups
• A NOTE ON NON-AMENABILITY OF ℬ(ℓ_p) FOR p=1,2
• Exactness and the Novikov conjecture

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