Geodesic
Character Amenability of Lipschitz Algebras
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 37-41

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2012-015-3
Mots-clés : 43A07, 46H05, 46J10, character amenable, character contractible, Lipschitz algebras, spectrum 
Dashti, Mahshid; Nasr-Isfahani, Rasoul; Renani, Sima Soltani. Character Amenability of Lipschitz Algebras. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 37-41. doi: 10.4153/CMB-2012-015-3
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