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Characterization of metric spaces whose free space is isometric to $\ell_1$ (1502.02719v2)
Published 9 Feb 2015 in math.FA
Abstract: We characterize metric spaces whose Lipschitz free space is isometric to $\ell_1$. In particular, the Lipschitz free space over an ultrametric space is not isometric to $\ell_1(\Gamma)$ for any set $\Gamma$. We give a lower bound for the Banach-Mazur distance in the finite case.