TOPOLOGICAL CENTERS OF THE N − TH DUAL OF MODULE ACTIONS

We study the topological centers of nth dual of Banach A-modules and we extend some propositions from Lau and Ulger into nth dual of Banach A−modules where n ≥ 0 is even number. Let B be a Banach A − bimodule. By using some new conditions, we show that Z^L A(n) (B^(n)) = B^(n) and Z^L B(n) (A^(n)) = A^(n). We get some conclusions on group algebras.