Derivation into duals of ideals of Banach algebras
| dc.creator | Gorgi, M E | |
| dc.creator | Yazdanpanah, T | |
| dc.date | 2005-03-05 | |
| dc.date.accessioned | 2026-07-07T05:17:41Z | |
| dc.date.available | 2026-07-07T05:17:41Z | |
| dc.description | We introduce two notions of amenability for a Banach algebra $\cal A$. Let $I$ be a closed two-sided ideal in $\cal A$, we say $\cal A$ is $I$-weakly amenable if the first cohomology group of $\cal A$ with coefficients in the dual space $I^*$ is zero; i.e., $H^1({\cal A},I^*)=\{0\}$, and, $\cal A$ is ideally amenable if $\cal A$ is $I$-weakly amenable for every closed two-sided ideal $I$ in $\cal A$. We relate these concepts to weak amenability of Banach algebras. We also show that ideal amenability is different from amenability and weak amenability. We study the $I$-weak amenability of a Banach algebra $\cal A$ for some special closed two-sided\break ideal $I$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503093 | |
| dc.identifier | http://arxiv.org/abs/math/0503093 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 4, November 2004, pp. 399-408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74398 | |
| dc.subject | Functional Analysis | |
| dc.title | Derivation into duals of ideals of Banach algebras | |
| dc.type | text |