Abstract
We characterize metric spaces whose Lipschitz free space is isometric to $\ell_1$. In particular, we show that 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.
Citation
Aude Dalet. Pedro L. Kaufmann. Antonín Procházka. "Characterization of metric spaces whose free space is isometric to $\ell_1$." Bull. Belg. Math. Soc. Simon Stevin 23 (3) 391 - 400, september 2016. https://doi.org/10.36045/bbms/1473186513
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