论文标题

一类新的理想符合能力

A new class of ideal Connes amenability

论文作者

Rejali, Ali, Minapoor, Ahmad

论文摘要

在本文中,我们介绍了一种新的舒适性概念,例如$σ-$ Connes Ideasal,例如,对于一大批双Banach代数。我们扩展了理想的概念,并研究其特性。令$σ$为$ feal^{*} $ - 在双重范围内的双Banach代数$ \ Mathcal {a} $上的连续内态性。然后,理想的概念不典型性和$σ-$理想情况下的概念是相同的。我们给出了一些一般的结果和遗传性能,并提供了一些新的符合性概念的例子。

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.

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