| Title:
|
Ideal amenability of module extensions of Banach algebras (English) |
| Author:
|
Gordji, Eshaghi M. |
| Author:
|
Habibian, F. |
| Author:
|
Hayati, B. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
177-184 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\cal A$ be a Banach algebra. $\cal A$ is called ideally amenable if for every closed ideal $I$ of $\cal A$, the first cohomology group of $\cal A$ with coefficients in $I^*$ is zero, i.e. $H^1({\cal A}, I^*)=\lbrace 0\rbrace $. Some examples show that ideal amenability is different from weak amenability and amenability. Also for $n\in {N}$, $\cal A$ is called $n$-ideally amenable if for every closed ideal $I$ of $\cal A$, $H^1({\cal A},I^{(n)})=\lbrace 0\rbrace $. In this paper we find the necessary and sufficient conditions for a module extension Banach algebra to be 2-ideally amenable. (English) |
| Keyword:
|
ideally amenable |
| Keyword:
|
Banach algebra |
| Keyword:
|
derivation |
| MSC:
|
46Hxx |
| idZBL:
|
Zbl 1164.46020 |
| idMR:
|
MR2354806 |
| . |
| Date available:
|
2008-06-06T22:51:05Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108063 |
| . |
| 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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| . |
