Generalization of Fuglede-Putnam Theorem to (p, q)−Quasiposinormal Operator and (p, q)− Co-posinormal Operator

Abstract

 In this paper we generalize the Fuglede-Putnam theorem to non-normal operators to posinormal operator and co-posinormal operators. Also we prove this theorem to supra class posinormal operators (called supraposinormal operator) and co-supra class posinormal operators (called cosupraposinormal operator).