%0 Journal Article
%T Quotient Arens regularity of $L^1(G)$
%J Journal of Linear and Topological Algebra ( JLTA )
%I Central Tehran Branch, Islamic Azad University
%Z 2252-0201
%A Zivari-Kazempour, A.
%D 2015
%\ 12/01/2015
%V 04
%N 04
%P 275-281
%! Quotient Arens regularity of $L^1(G)$
%K Arens product
%K Quotient Arens regular
%K Introverted subspace
%K Weakly almost periodic
%R
%X 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.
%U http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdf