Lipschitz-free spaces over uniformly discrete metric spaces are 3-Schur

TL;DR

This paper proves that Lipschitz-free spaces over uniformly discrete metric spaces possess the 3-Schur property, advancing understanding in geometric functional analysis.

Contribution

It establishes that such Lipschitz-free spaces have the 3-Schur property, a significant geometric feature, for the first time.

Findings

Lipschitz-free spaces over uniformly discrete metric spaces have the 3-Schur property.

The result applies to all uniformly discrete metric spaces.

This advances the understanding of the geometric structure of Lipschitz-free spaces.

Abstract

We prove that the Lipschitz-free space over any uniformly discrete metric space has the 3-Schur property