Completely Continuous and Weakly Completely Continuous Abstract Segal Algebras

Proceedings Mathematical Sciences

Fatemeh Abtahi¹ 

[1] Department of Mathematics, University of Isfahan, Isfahan, Iran$$

关键词: Abstract Segal algebras;    completely continuous;    weakly completely continuous.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let $mathcal{A}$ be a Banach algebra. It is obtained a necessary and sufficient condition for the complete continuity and also weak complete continuity of symmetric abstract Segal algebras with respect to $mathcal{A}$, under the condition of the existence of an approximate identity for $mathcal{B}$, bounded in $mathcal{A}$. In addition, a necessary condition for the weak complete continuity of $mathcal{A}$ is given. Moreover, the applications of these results about some group algebras on locally compact groups are obtained.

【 授权许可】

Unknown