Open AccessSome Properties of D-Operator on Hilbert Space
Author(s) -
Eiman Al-janabi
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.12.24
Subject(s) - unitary operator , mathematics , operator (biology) , hilbert space , invertible matrix , unitary state , pure mathematics , scalar (mathematics) , multiplication operator , operator space , finite rank operator , product (mathematics) , shift operator , quasinormal operator , weak operator topology , compact operator , computer science , banach space , biochemistry , chemistry , geometry , repressor , political science , transcription factor , law , extension (predicate logic) , gene , programming language
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.