Uniform Embeddings into Hilbert Space and a Question of Gromov

DOI10.4153/CMB-2002-006-9zbMath1044.46020OpenAlexW2042532783MaRDI QIDQ4547561

Vincent Lafforgue, Guihua Gong, Alexander N. Dranishnikov, Guo-Liang Yu

Publication date: 2002

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2002-006-9

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items

Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability, Constructions preserving Hilbert space uniform embeddability of discrete groups, The coarse geometric Novikov conjecture and uniform convexity, Asymptotic properties of groups acting on complexes, Strongly non-embeddable metric spaces, Supremal \(p\)-negative type of vertex transitive graphs, Coarse directed limits of metric spaces admitting coarse embeddings into Hilbert spaces, Moments of the Distance Between Independent Random Vectors, Metric trees of generalized roundness one, Embeddings of persistence diagrams into Hilbert spaces, Enhanced negative type for finite metric trees, COMPARING THE GENERALISED ROUNDNESS OF METRIC SPACES, The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space, A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space, On the supremal \(p\)-negative type of finite metric spaces, The non-linear geometry of Banach spaces after Nigel Kalton, Coarsely embeddable metric spaces without Property A, Measure expanding actions, expanders and warped cones, Strict \(p\)-negative type of a metric space, Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces, Coarse embeddings of metric spaces into Banach spaces, $\ell {\textunderscore }p$ ($p>2$) does not coarsely embed into a Hilbert space, The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space, Nonpositive curvature is not coarsely universal, OPTIMAL LOWER BOUND ON THE SUPREMAL STRICT p-NEGATIVE TYPE OF A FINITE METRIC SPACE, Large scale geometry of Banach-Lie groups