A characterization of the $L^{\infty}$-representation algebra $\mathfrak{R}(S)$ of a foundation semigroup and its application to BSE algebras

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Zeinab Kamali¹ 

[1] Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University (IAU);School of Mathematics Institute for Research in Fundamental Sciences (IPM)

关键词: Liouville numbers;    Diophantine numbers;    continued fraction.;   

DOI  :  10.3792/pjaa.92.59

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

For a locally compact Hausdorff semigroup $S$, the $L^{\infty}$-representation algebra $\mathfrak{R}(S)$ was extensively studied by Dunkl and Ramirez. In this paper we give a characterization of the Banach algebra $\mathfrak{R}(S)$ of a foundation semigroup $S$ and as an application we determine some BSE semigroup algerbras.

【 授权许可】

Unknown