Tree metrics and their Lipschitz-free spaces

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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 $L_1$.
9 pages

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Functional Analysis, Metric Geometry, 46B04 (Primary) 05C05, 46B25, 54E35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/227894

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3178
 http://arxiv.org/abs/0904.3178

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arXiv