Best constants for Lipschitz embeddings of metric spaces into c_0

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dc.creatorKalton, N. J.
dc.creatorLancien, G.
dc.date2007-08-29
dc.date.accessioned2026-07-07T08:26:22Z
dc.date.available2026-07-07T08:26:22Z
dc.descriptionWe answer a question of Aharoni by showing that every separable metric space can be Lipschitz 2-embedded into $c_0$ and this result is sharp; this improves earlier estimates of Aharoni, Assouad and Pelant. We use our methods to examine the best constant for Lipschitz embeddings of the classical $\ell_p-$spaces into $c_0$ and give other applications. We prove that if a Banach space embeds almost isometrically into $c_0$, then it embeds linearly almost isometrically into $c_0$. We also study Lipschitz embeddings into $c_0^+$.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0708.3924
dc.identifierhttp://arxiv.org/abs/0708.3924
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136917
dc.subjectFunctional Analysis
dc.subject46B20, 46T99
dc.titleBest constants for Lipschitz embeddings of metric spaces into c_0
dc.typetext

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