| Title:
|
A generalization of amenability and inner amenability of groups (English) |
| Author:
|
Ghaffari, Ali |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
729-742 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
amenability |
| Keyword:
|
Banach algebra |
| Keyword:
|
inner amenability |
| Keyword:
|
locally compact group |
| MSC:
|
22D15 |
| MSC:
|
43A60 |
| idZBL:
|
Zbl 1265.43003 |
| idMR:
|
MR2984632 |
| DOI:
|
10.1007/s10587-012-0043-4 |
| . |
| Date available:
|
2012-11-10T21:14:32Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143023 |
| . |
| Reference:
|
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