Best constants for Lipschitz embeddings of metric spaces into c_0

Autor:	Kalton, N. J., Lancien, G.
Rok vydání:	2007
Předmět:	Mathematics - Functional Analysis 46B20 46T99
Druh dokumentu:	Working Paper
Popis:	We 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 $c_0^+$. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0708.3924 Zobrazit plný text záznamu View this record from Arxiv