Quotient Arens regularity of $L^1(G)$

Journal of Linear and Topological Algebra

مقاله 13، دوره 04، شماره 04، اسفند 2015، صفحه 275-281   

نوع مقاله: Research Paper

نویسنده

A. Zivari-Kazempour^*

Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran

چکیده

Let $\mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $\mathcal{A}^\prime$. In this paper we study the quotient Arens regularity of $\mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular with respect to certain introverted subspace $E$ of $L^\infty(G)$. Some related result are given as well.

کلیدواژه‌ها

Arens product؛ Quotient Arens regular؛ Introverted subspace؛ Weakly almost periodic

مراجع

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