Can I read Embeddings of proper metric spaces into Banach spaces on EtoBox?

Embeddings of proper metric spaces into Banach spaces by Florent, Baudier is a scholarly article available to read on EtoBox.

What is Embeddings of proper metric spaces into Banach spaces about?

We show that there exists a strong uniform embedding from any proper metric space into any Banach space without cotype. Then we prove a result concerning the Lipschitz embedding of locally finite subsets of $\mathcal{L}_{p}$-spaces. We use this locally finite result to construct a coarse bi-Lipschitz embedding for proper subsets of any $\mathcal{L}_p$-space into any Banach space $X$ containing the $\ell_p^n$'s. Finally using an argument of G. Schechtman we prove that for general proper metric spaces and for Banach spaces without cotype a converse statement holds.

Author

Florent, Baudier

Published

2009

Language

EN