This is an announcement for the paper “Linear structure of Lipschitz-free spaces over countable compact metric spaces” by Colin Petitjean.

Abstract: In this paper we show that the Lipschitz-free space over a countable compact metric space linearly embeds into a $\ell_1$-sum of finite dimensional subspaces of itself. Therefore, as a corollary, we will obtain that the Lipschitz-free space over a countable compact metric space has the $1$-Schur property and the $1$-strong Schur property.

The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1603.01391