The class of D(T)–operators on Hilbert space

Document Type : Research Paper


Tikrit University – College of Education for Women/ Department of Mathematics, Iraq


The purpose of this paper is to introduce a new class operator on separable Hilbert space. The operator T ∈ B(H) is called D(T)-operator if there exist U ∈ B(H), U≠0, I such that T*TU = UT*T, where T* adjoint operator of T. Then, some main properties of the class of D(T)-operator are studied in this research.