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Derivations into duals of closed ideals of Banach algebras

M. Eshaghi Gordji·B. Hayati·S. A. R. Hosseiniun
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Abstract

Let $\cal A$ be a Banach algebra. We study those closed ideals $I$ of $\cal A$ for which the first cohomology group of $\cal A$ with coefficients in $I^*$ is trivial; i.e. $H^1(\cal A,I^*)=\{0\}$. We investigate such closed ideals when $\cal A$ is weakly amenable or biflat. Also we give some hereditary properties of ideal amenability.

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M. Eshaghi Gordji, B. Hayati, S. A. R. Hosseiniun. 2006-10-05. Derivations into duals of closed ideals of Banach algebras. https://arxiv.org/abs/math/0610137

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