Abstract
As a continuation of our previous work [22], this paper is devoted to the study for further properties of the class of (n, m)-power D-normal operators( [(n, m)DN]) and introduce some classes of operators on Hilbert space called D- m-quasi-normal operators and it is denoted by (([D(QN)(m)]), n-power D- m-quasi-normal operators and it is denoted by ([nD(QN)(m)]), associated with a Drazin invertible operator using its Drazin inverse. Some characterizations of D- m-quasi-normal and n-power D- m-quasi-normal operators are discussed. Inclusion relations among the various classes of normal operators are characterized.