[Banach] Abstract of a paper by A. Jimenez-Vargas

This is an announcement for the paper "Weakly compact composition operators on spaces of Lipschitz functions" by A. Jimenez-Vargas.

Abstract: Let $X$ be a pointed compact metric space. Assuming that $\mathrm{lip}_0(X)$ has the uniform separation property, we prove that every weakly compact composition operator on spaces of Lipschitz functions $\mathrm{Lip}_0(X)$ and $\mathrm{lip}_0(X)$ is compact.

Archive classification: math.FA

Mathematics Subject Classification: 47B33, 47B07, 26A16

Remarks: 6 pages

Submitted from: ajimenez@ual.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1405.4267

or

http://arXiv.org/abs/1405.4267