Best constants for Lipschitz embeddings of metric spaces into c_0
Autor: | Kalton, N. J., Lancien, G. |
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Rok vydání: | 2007 |
Předmět: | |
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 |
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