Abstract
Let (X, d) be a pointed compact metric space, let 0 < α < 1, and let φ : X → X be a base point preserving Lipschitz map. We prove that the essential norm of the composition operator Cφ induced by the symbol φ on the spaces lip0(X, dα) and Lip0(X, dα) is given by the formula whenever the dual space has the approximation property. This happens in particular when X is an infinite compact subset of a finite‐dimensional normed linear space.
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