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arXiv · 1411.2434

Lipschitz-free spaces over ultrametric spaces

Marek Cuth·Michal Doucha
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Abstract

We prove that the Lipschitz-free space over a separable ultrametric space has a monotone Schauder basis and is isomorphic to $\ell_1$. This extends results of A. Dalet using an alternative approach.

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Marek Cuth, Michal Doucha. 2018-02-08. Lipschitz-free spaces over ultrametric spaces. https://doi.org/10.1007/s00009-015-0566-7

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