Ҝ- Operators

Abstract

In this paper, we introduce a new class of operators on a complex Hilbert space ℋ which is called Ҝ-operators. An operator
???? ∈ ℬ(ℋ) is called Ҝ-operators if (????????
∗
)
???? = ???? (????????∗
) , where ???? ≥ 2 and ????
∗
is the adjoint of the operator ????.
We investigate some basic properties of such operators and study the relation between Ҝ-operators and some other well known classes
of operators on ℋ .