Products of Lipschitz-free spaces and applications

Pedro Levit Kaufmann

We show that, given a Banach space $X$, the Lipschitz-free space over $X$, denoted by $\mathcal{F}(X)$, is isomorphic to $({\sum }_{n=1}^{\infty }\mathcal{F}(X){)}_{{\ell }_1}$. Some applica…