Lipschitz free spaces over locally compact metric spaces
Volume 258 / 2021
Studia Mathematica 258 (2021), 317-342
MSC: Primary 46B20; Secondary 46B22.
DOI: 10.4064/sm200511-10-10
Published online: 8 January 2021
Abstract
We prove that the Lipschitz free spaces over certain types of discrete metric spaces have the Radon–Nikodým property. We also show that the Lipschitz free space over a complete, locally compact metric space has the Schur or the approximation property whenever the Lipschitz free space over each compact subset also has this property.
