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2. A generalization of amenability and inner amenability of groups

Creator:
Ghaffari, Ali
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
amenability, Banach algebra, inner amenability, and locally compact group
Language:
English
Description:
Let $G$ be a locally compact group. We continue our work [A. Ghaffari: $\Gamma $-amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of $\Gamma $-amenability of a locally compact group $G$ defined with respect to a closed subgroup $\Gamma $ of $G\times G$. In this paper, among other things, we introduce and study a closed subspace $A_\Gamma ^p(G)$ of $L^\infty (\Gamma )$ and then characterize the $\Gamma $-amenability of $G$ using $A_\Gamma ^p(G)$. Various necessary and sufficient conditions are found for a locally compact group to possess a $\Gamma $-invariant mean.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public