On the approximate and weak approximate amenability of the second dual of Banach algebras

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

O. T. Mewomo¹  G. Akinbo¹ 

[1] University of Agriculture (Abeokuta) and Obafemi Awolowo University

关键词: approximately weakly amenable;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

Let $A$ be a Banach algebra. We investigate the relations between the bounded approximate amenability of $A"$ and Arens regularity of $A$ and the role of topological centres in the approximate amenability of $A"$. We also find conditions under which approximate weak amenability of $A"$ necessitates that of $A$. In particular, we show that if $S$ is an infinite weakly cancellative semigroup, then the approximate weak amenability of $l^{1}(S)"$ necessitates that of $l^{1}(S)$.

【 授权许可】

Unknown