Composition operator induced by 9(z) = sz + t for which |s| 1, |t| 1 and |s|+|t| 1

We study in this paper the composition operator that is induced by 9(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by selfmaps of the unit ball of form 9(z) = sz + t for which |s| 1, |t| 1 and |s|+|t| 1. In fact we prove that the adjoint is a product of toeplitz operators and composition operator. Also, we have studied the compactness of C9 and give some other partial results