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A new class of ideal Connes amenability. (arXiv:2201.05625v1 [math.FA]) http://arxiv.org/abs/2201.05625

A new class of ideal Connes amenability

In this paper, we introduce a new notion of amenability, $σ-$Connes ideal, say, for a large class of dual Banach algebras. We extend the concept of ideal Connes amenability and study their properties. Let $σ$ be a $weak^{*}$-continuous endomorphism on a dual Banach algebra $\mathcal{A}$ with dense range. Then the concept of ideal Connes-amenability and $σ-$ ideally Connes amenability are the same. We gave some general results and hereditary properties with some examples for this new notion of amenability.

arxiv.org
January 19, 2022 at 3:10 AM · · feed2toot · 0 · 0 · 0
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