Left introverted subspaces of duals of Banach algebras and $WEAK^*-$continuous derivations on dual Banach algebras
| dc.creator | Gordji, M. Eshaghi | |
| dc.date | 2006-10-05 | |
| dc.date | 2006-10-16 | |
| dc.date.accessioned | 2026-07-07T07:28:46Z | |
| dc.date.available | 2026-07-07T07:28:46Z | |
| dc.description | Let $X$ be a left introverted subspace of dual of a Banach algebra. We study $Z_t(X^*),$ the topological center of Banach algebra $X^*$. We fined the topological center of $(X\cA)^*$, when $\cA$ has a bounded right approximate identity and $\cA\subseteq X^*.$ So we introduce a new notation of amenability for a dual Banach algebra $\cal A$. A dual Banach algebra $\cal A$ is weakly Connes-amenable if the first $weak^*-$continuous cohomology group of $\cal A$ with coefficients in $\cal A$ is zero; i.e., $H^1_{w^*}(\cal A, \cal A)=\{o\}$. We study the weak Connes-amenability of some dual Banach algebras. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610199 | |
| dc.identifier | http://arxiv.org/abs/math/0610199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117855 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46H25 | |
| dc.title | Left introverted subspaces of duals of Banach algebras and $WEAK^*-$continuous derivations on dual Banach algebras | |
| dc.type | text |