Geodesic
Weak$^*$-continuous derivations in dual Banach algebras
Archivum mathematicum, Tome 48 (2012) no. 1, pp. 39-44 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 \[ H^1_{w^*}(\mathcal{A}, \mathcal{A})=\lbrace 0\rbrace \,. \]
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 \[ H^1_{w^*}(\mathcal{A}, \mathcal{A})=\lbrace 0\rbrace \,. \]
DOI : 10.5817/AM2012-1-39
Classification : 46H25
Keywords: Arens product; 2-weakly amenable; derivation 
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Eshaghi-Gordji, M.; Ebadian, A.; Habibian, F.; Hayati, B. Weak$^*$-continuous derivations in dual Banach algebras. Archivum mathematicum, Tome 48 (2012) no. 1, pp. 39-44. doi: 10.5817/AM2012-1-39

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