Some Properties of D-Operator on Hilbert Space

  • Eiman Al-janabi Assistant proffessor
Keywords: Hilbert space, Drazin operator, Normal operator, D-normal operator, n-normal operator, class (Q) operators

Abstract

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.

Published
2020-12-30
How to Cite
Al-janabi, E. (2020). Some Properties of D-Operator on Hilbert Space. Iraqi Journal of Science, 61(12), 3366-3371. https://doi.org/10.24996/ijs.2020.61.12.24
Section
Mathematics