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arXiv · 1405.4267

Weakly compact composition operators on spaces of Lipschitz functions

A. Jiménez-Vargas
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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.

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A. Jiménez-Vargas. 2014-05-16. Weakly compact composition operators on spaces of Lipschitz functions. https://arxiv.org/abs/1405.4267

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