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Character Amenability of Lipschitz Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $\chi $ be a locally compact metric space and let
$\mathcal{A}$ be any of the Lipschitz algebras
$\text{Li}{{\text{p}}_{\alpha }}\text{ }\!\!\chi\!\!\text{ }$,
$\text{Li}{{\text{p}}_{\alpha }}\text{ }\!\!\chi\!\!\text{ }$, or
$\text{lip}_{\alpha }^{0}\,\chi $. In this paper, we show, as a consequence of rather more general results on Banach algebras, that
$\mathcal{A}$ is
$C$-character amenable if and only if
$\chi $ is uniformly discrete.
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- Research Article
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- Copyright © Canadian Mathematical Society 2014
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