The Composition Operator Induced By The Function

Abstract

The main aim of this search to study the composition operator induced by the automorphism  and discuss the adjoint of the composition operator, also we discuss some properties of composition operator and tried to see the analogue properties in order to show how the results are changed by changing the function  of U. In order to make the work accessible to the reader, we have included some known results with the details of the proofs for some cases and proofs for the properties.

Keywords

• automorphism
• operator