Comparison of the topological centers of a bilinear mapping and its third adjoint

Let f : X Y ! Z be a bilinear mapping on normed spaces. In this paper we investigate that are the topological centers of f , w ?dense in the corresponding topological centers of its extensions f and f t t we show that although it has positive answer on some special cases but this is not true in general.

Keywords:

bilinear mapping , topological center , Arens regular.