Lipschitz-free spaces and Schur properties - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2017

Lipschitz-free spaces and Schur properties

Résumé

In this paper we study 1-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 1-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).
Fichier principal
Vignette du fichier
1603.01391.pdf (250.58 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02373803 , version 1 (22-10-2020)

Identifiants

Citer

Colin Petitjean. Lipschitz-free spaces and Schur properties. Journal of Mathematical Analysis and Applications, 2017, 453 (2), pp.894-907. ⟨10.1016/j.jmaa.2017.04.047⟩. ⟨hal-02373803⟩
16 Consultations
393 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More