LW∗W-property and topological centers of banach algebras

Document Type : Research Paper

Author

Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran

Abstract

In this paper we introduce the new concepts LW∗Wproperty and RW∗W-property for a Banach algebra A. Under certain conditions, we show that if A has LW∗W-property and RW∗W- property, then A is Arens regular. We also offer some applications of these new concepts in group algebras.

Keywords