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Article Dans Une Revue Bulletin of the Belgian Mathematical Society - Simon Stevin Année : 2016

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

Résumé

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.

Dates et versions

hal-01609456 , version 1 (03-10-2017)

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Aude Dalet, Pedro L. Kaufmann, Antonin Prochazka. Characterization of metric spaces whose free space is isometric to $\ell_1$. Bulletin of the Belgian Mathematical Society - Simon Stevin, 2016, 23 (3), pp.391-400. ⟨hal-01609456⟩
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