This is an announcement for the paper "Lipschitz-free spaces over ultrametric spaces" by Marek Cuth and Michal Doucha.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B03, 46B15, 54E35

Submitted from: marek.cuth@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1411.2434

or

http://arXiv.org/abs/1411.2434