Title of article :
The class of D(T)–operators on Hilbert spaces
Author/Authors :
Abdulwahid, Elaf S Department of Mathematics - College of Education for Women - Tikrit University, Iraq
Abstract :
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.
Keywords :
D(T)-operator , quasi-normal operator , The spectrum of normal operator , Hilbert space
Journal title :
International Journal of Nonlinear Analysis and Applications
