A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Lipschitz free spaces over locally compact metric spaces

Volume 258 / 2021

Chris Gartland 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.

Authors

  • Chris GartlandDepartment of Mathematics
    Texas A&M University
    College Station, TX 77843, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image