Some Properties of D-Operator on Hilbert Space
Hilbert space
Drazin operator
Normal operator
D-normal operator
n-normal operator
class (Q) operators
In this paper, we introduce a new type of Drazin invertible operator on Hilbert spaces, which is called D-operator. Then, some properties of the class of D-operators are studied. We prove that the D-operator preserves the scalar product, the unitary equivalent property, the product and sum of two D-operators are not D-operator in general but the direct product and tenser product is also D-operator.
