Class of (n, m)-Power-D-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)DH], called (n, m)-power-D-hyponormal associated with a Drazin inversible operator using its Drazin inverse. Some proprieties of (n, m)-power-D-hyponormal, are investigated with some examples.