Abstract:
Let $\mathfrak A$ be a Banach algebra. The Banach algebra $\mathfrak A$ is said to be ideally amenable if every continuous derivation from $\mathfrak A$ into $\mathcal I^*$ is inner, where $\mathcal I$ is a two-sided ideal of $\mathfrak A$. In this paper, we consider the ideal amenability of Banach algebras, and try to give some new results on the ideal amenability of Banach algebras and commutative Banach algebras.
Key words and phrases:amenability, Banach algebra, convolution algebra, ideal amenability, Lipschitz algebra.
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