LW^*W-PROPERTY AND TOPOLOGICAL CENTERS OF BANACH ALGEBRAS

In this paper we introduce the new concepts LW^*W - property 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 o_er some applications of these new concepts in group algebras.