Essential Norm of Composition Operators on Banach Spaces of Hölder Functions

A. Jiménez-Vargas, Miguel Lacruz and Moisés Villegas-Vallecillos

Abstract and Applied Analysis, 2011, vol. 2011, 1-13

Abstract:

Let be a pointed compact metric space, let , and let be a base point preserving Lipschitz map. We prove that the essential norm of the composition operator induced by the symbol on the spaces and is given by the formula whenever the dual space has the approximation property. This happens in particular when is an infinite compact subset of a finite-dimensional normed linear space.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:590853

DOI: 10.1155/2011/590853

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