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Weakly compact composition operators on spaces of Lipschitz functions

Published 16 May 2014 in math.FA | (1405.4267v1)

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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