Ɱ* QUASI PARANORMAL COMPOSITION OPERATORS

Abstract

             Abstract:

             In this paper characterizes the Ɱ* quasi  paranormal composition operator and  Ɱ* quasi  

            paranormal weighted composition operator on  spaces and investigates their various

            properties.

             Key Words:

             Ɱ*quasi paranormal operator, Composition operator, Weighted composition operator.

            1.Introduction

            Let H be an infinite dimensional compact Hilbert space and B(H) be the algebraic of all

            bounded linear operators acting on H. A bounded linear operator in a Hilbert space  is said to

            be Ɱ* quasi paranormal operator if it satisfies  ||    Ɱ |  .||  ||, for each ,

            where Ɱ is a real positive number.

           1.1Preliminaries

           Let  = (