| Title:
|
Problems concerning $n$-weak amenability of a Banach algebra (English) |
| Author:
|
Medghalchi, Alireza |
| Author:
|
Yazdanpanah, Taher |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
863-876 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we extend the notion of $n$-weak amenability of a Banach algebra $\mathcal A$ when $n\in \mathbb{N}$. Technical calculations show that when $\mathcal A$ is Arens regular or an ideal in $\mathcal A^{**}$, then $\mathcal A^*$ is an $\mathcal A^{(2n)}$-module and this idea leads to a number of interesting results on Banach algebras. We then extend the concept of $n$-weak amenability to $n \in \mathbb{Z}$. (English) |
| Keyword:
|
Banach algebra |
| Keyword:
|
weakly amenable |
| Keyword:
|
Arens regular |
| Keyword:
|
$n$-weakly amenable |
| MSC:
|
46H20 |
| MSC:
|
46H40 |
| idZBL:
|
Zbl 1081.46031 |
| idMR:
|
MR2184368 |
| . |
| Date available:
|
2009-09-24T11:28:25Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128029 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
