Characterization of metric spaces whose free space is isometric to $\ell_1$
Functional Analysis
2016-09-13 v2
Abstract
We characterize metric spaces whose Lipschitz free space is isometric to . In particular, the Lipschitz free space over an ultrametric space is not isometric to for any set . We give a lower bound for the Banach-Mazur distance in the finite case.
Keywords
Cite
@article{arxiv.1502.02719,
title = {Characterization of metric spaces whose free space is isometric to $\ell_1$},
author = {Aude Dalet and Pedro L. Kaufmann and Antonín Procházka},
journal= {arXiv preprint arXiv:1502.02719},
year = {2016}
}