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On Approximate $$\varphi$$ φ -Inner Amenable Banach Algebras
Iranian Journal of Science and Technology, Transactions A: Science ( IF 1.4 ) Pub Date : 2022-07-01 , DOI: 10.1007/s40995-022-01323-4
Gita Zarei , Abdolrasoul Pourabbas , Amir Sahami

In this paper, the notion of approximate \(\varphi\)-inner amenability for a Banach algebra A, where \(\varphi :A\rightarrow {\mathbb {C}}\) is a character, is defined and studied. Some hereditary properties of this new notion and its relation with other concepts of amenability are also given. As an application, the structure of \(\theta\)-Lau product algebras and upper triangular algebras are investigated.



中文翻译:

关于近似 $$\varphi$$ φ -Inner Amenable Banach 代数

在本文中,定义和研究了 Banach 代数A的近似\(\varphi\) -inner amenability的概念,其中\(\varphi :A\rightarrow {\mathbb {C}}\)是一个字符。还给出了这一新概念的一些遗传特性及其与其他顺从性概念的关系。作为应用,研究了\(\theta\) -Lau积代数和上三角代数的结构。

更新日期:2022-07-03
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