Tree metrics and their Lipschitz-free spaces

Godard, A.

doi:10.1090/S0002-9939-2010-10421-5

Tree metrics and their Lipschitz-free spaces
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Proc. Amer. Math. Soc. 138 (2010), 4311-4320 Request permission

Abstract:

We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of $L_1$.

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