Characterization of metric spaces whose free space is isometric to $\ell_1$

preprint2015arXivOpen access

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 $\ell_1(Γ)$ for any set $Γ$ . We give a lower bound for the Banach-Mazur distance in the finite case.

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Characterization of metric spaces whose free space is isometric to $\ell_1$

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Characterization of metric spaces whose free space is isometric to ℓ1\ell_1ℓ1​

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Characterization of metric spaces whose free space is isometric to $\ell_1$