On large ${\ell }_1$-sums of Lipschitz-free spaces and applications

Leandro Candido, Héctor H. T. Guzmán

We prove that the Lipschitz-free space over a Banach space $X$ of density $\kappa$, denoted by $\mathcal{F}(X)$, is linearly isomorphic to its ${\ell }_1$-sum $\left(\bigoplus_κ\mathcal{F}…