Embeddings of Lipschitz-free spaces into ${\ell }_1$

Ramón J. Aliaga, Colin Petitjean, Antonín Procházka

We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal{F}(M)$ embeds linearly and almost-isometrically into ${\ell }_1$ if and only if $M$ is a…