Approximate $n-$ideal amenability of module extension Banach algebras
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Abstract:
Let $mathcal{A}$ be a Banach algebra and $X$ be a Banach $mathcal{A}-$bimodule. We study the notion of approximate $n-$ideal amenability for module extension Banach algebras $mathcal{A}oplus X$. First, we describe the structure of ideals of this kind of algebras and we present the necessary and sufficient conditions for a module extension Banach algebra to be approximately n-ideally amenable.
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Journal title
volume 09 issue 03
pages 237- 252
publication date 2020-09-01
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