| Title:
|
Generalization of the weak amenability on various Banach algebras (English) |
| Author:
|
Eshaghi Gordji, Madjid |
| Author:
|
Jabbari, Ali |
| Author:
|
Bodaghi, Abasalt |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
144 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
1-11 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The generalized notion of weak amenability, namely $(\varphi ,\psi )$-weak amenability, where $\varphi ,\psi $ are continuous homomorphisms on a Banach algebra ${\mathcal A}$, was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the $(\varphi ,\psi )$-weak amenability on the measure algebra $M(G)$, the group algebra $L^1(G)$ and the Segal algebra $S^1(G)$, where $G$ is a locally compact group, are studied. As a typical example, the $(\varphi ,\psi )$-weak amenability of a special semigroup algebra is shown as well. (English) |
| Keyword:
|
Banach algebra |
| Keyword:
|
$(\varphi ,\psi )$-derivation |
| Keyword:
|
group algebra |
| Keyword:
|
locally compact group |
| Keyword:
|
measure algebra |
| Keyword:
|
Segal algebra |
| Keyword:
|
weak amenability |
| MSC:
|
43A20 |
| MSC:
|
46H20 |
| idZBL:
|
Zbl 07088832 |
| idMR:
|
MR3934194 |
| DOI:
|
10.21136/MB.2018.0046-17 |
| . |
| Date available:
|
2019-03-21T12:29:25Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147633 |
| . |
| Reference:
|
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| Reference:
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| . |
