The spectrum and the numerical range of the product of finite numbers of automorphic composition operators on hardy space H2

الملخص EN

Throughout this paper we study the properties of the composition operator C p1  o p2  o…o pn  induced by the composition of finite numbers of special automorphisms of U, pi  (z)  i i p z 1 p z   Such that pi  U, i  1, 2, …, n, and discuss the relation between the product of finite numbers of automorphic composition operators on Hardy space H2 and some classes of operators.