Weakly compact composition operators on spaces of Lipschitz functions

2014/05/16 by Jiménez-Vargas, A.
#26A16 #47B07 #47B33 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1405.4267

Abstract

Let X be a pointed compact metric space. Assuming that lip₀(X) has the uniform separation property, we prove that every weakly compact composition operator on spaces of Lipschitz functions Lip₀(X) and lip₀(X) is compact.

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