Class of (n;m)-power-D-quasi-hyponormal operators in Hilbert space

Abstract

In this paper, we introduce a new classes of operators acting on a complex hilbert
space H , denoted by [(n;m)DQH], called (n;m)-power-D-quasi-hyponormal asso-
ciated with a Drazin invertible operator usingits Drazin inverse. Somme properties
of (n;m)-power-D-quasi-hyponormal, are investigated and somme examples.