Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space

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dc.creatorRandrianarivony, N. L.
dc.date2004-11-11
dc.date.accessioned2026-07-07T05:14:14Z
dc.date.available2026-07-07T05:14:14Z
dc.descriptionA map f between two metric spaces (X,d_1) and (Y,d_2) is called a coarse embedding of X into Y if there exist two nondecreasing functions phi_1, phi_2:[0,\infty) --> [0,\infty) such that: phi_1(d_1(x,y)) \leq d_2(f(x),f(y)) \leq phi_2(d_1(x,y)) for all x, y in X, and phi_1(t) tends to \infty as t tends to \infty. We characterize those quasi-Banach spaces that have a coarse embedding into a Hilbert space.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0411269
dc.identifierhttp://arxiv.org/abs/math/0411269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73201
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.titleCharacterization of quasi-Banach spaces which coarsely embed into a Hilbert space
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