| Title:
|
Weak$^*$-continuous derivations in dual Banach algebras (English) |
| Author:
|
Eshaghi-Gordji, M. |
| Author:
|
Ebadian, A. |
| Author:
|
Habibian, F. |
| Author:
|
Hayati, B. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
39-44 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathcal{A}$ be a dual Banach algebra. We investigate the first weak$^*$-continuous cohomology group of $\mathcal{A}$ with coefficients in $\mathcal{A}$. Hence, we obtain conditions on ${\mathcal{A}}$ for which
\[ H^1_{w^*}(\mathcal{A}, \mathcal{A})=\lbrace 0\rbrace \,. \] (English) |
| Keyword:
|
Arens product |
| Keyword:
|
2-weakly amenable |
| Keyword:
|
derivation |
| MSC:
|
46H25 |
| idMR:
|
MR2915848 |
| DOI:
|
10.5817/AM2012-1-39 |
| . |
| Date available:
|
2012-03-15T18:08:34Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142090 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
