Semi-amenability and Connes Semi-amenability of Banach Algebras
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Abstract:
Let A be a Banach algebra and X a Banach A-bimodule, the derivation D : A → X is semi-inner if there are ξ, μ ∈ X such that D(a) = a.ξ − μ.a, (a ∈ A). A is called semi-amenable if every derivation D : A → X∗ is semi-inner. The dual Banach algebra A is Connes semi-amenable (resp. approximately semi-amenable) if, every D ∈ Z1w _ (A,X), for each normal, dual Banach A-bimodule X, is semi -inner (resp. approximately semi-inner). We will investigate on some properties of semi-amenability and Connes semiamenability of Banach algebras which former have been studied for amenability case.
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Journal title
volume 3 issue 1
pages 55- 65
publication date 2018-11-01
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