Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774871 | Journal of Mathematical Analysis and Applications | 2017 | 14 Pages |
Abstract
In this paper we study â1-like properties for some Lipschitz-free spaces. The main result states that, under some natural conditions, the Lipschitz-free space over a proper metric space linearly embeds into an â1-sum of finite dimensional subspaces of itself. We also give a sufficient condition for a Lipschitz-free space to have the Schur property, the 1-Schur property and the 1-strong Schur property respectively. We finish by studying those properties on a new family of examples, namely the Lipschitz-free spaces over metric spaces originating from p-Banach spaces, for p in (0,1).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
C. Petitjean,