New Generalizations for Ϻ-Hyponormal Operators

Abstract

This article contains a new generalizations of Ϻ-hyponormal operators which is namely (Ϻ,θ)-hyponormal operator define on Hilbert space H. Furthermore, we investigate some properties of this concept such as the product and sum of two (Ϻ, θ)-hyponormal operators, At the end the operator equation where , has been used for getting several characterization of (Ϻ,θ)-hyponormal operators.