Character Amenability of Lipschitz Algebras
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 37-41
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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.
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
@article{10_4153_CMB_2012_015_3,
author = {Dashti, Mahshid and Nasr-Isfahani, Rasoul and Renani, Sima Soltani},
title = {Character {Amenability} of {Lipschitz} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {37--41},
year = {2014},
volume = {57},
number = {1},
doi = {10.4153/CMB-2012-015-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-015-3/}
}
TY - JOUR AU - Dashti, Mahshid AU - Nasr-Isfahani, Rasoul AU - Renani, Sima Soltani TI - Character Amenability of Lipschitz Algebras JO - Canadian mathematical bulletin PY - 2014 SP - 37 EP - 41 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-015-3/ DO - 10.4153/CMB-2012-015-3 ID - 10_4153_CMB_2012_015_3 ER -
%0 Journal Article %A Dashti, Mahshid %A Nasr-Isfahani, Rasoul %A Renani, Sima Soltani %T Character Amenability of Lipschitz Algebras %J Canadian mathematical bulletin %D 2014 %P 37-41 %V 57 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-015-3/ %R 10.4153/CMB-2012-015-3 %F 10_4153_CMB_2012_015_3
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