On The Normality Set of Linear Operators

Authors

Laith K. Shaakir, Department of Mathematics, College of Computer Sciences and Mathematics, Tikrit University,Salah al din, IraqFollow
Anas A. Hijab, Department of Mathematics,College of Education for Pure Sciences,Tikrit University, Salah al din, Iraq.Follow

Abstract

In this paper, the Normality NA set will be investigated. Then, the study highlights some concepts properties and important results. In addition, it will prove that every operator with normality set has non trivial invariant subspace of ℌ.

Keywords

Invariant, Quasi-similar operator, Normality set, Similar operator, Unitary operator.

Article Type

Article

How to Cite this Article

Shaakir, Laith K. and Hijab, Anas A. (2020) "On The Normality Set of Linear Operators," Baghdad Science Journal: Vol. 17: Iss. 3, Article 12.
DOI: https://doi.org/10.21123/bsj.2020.17.3.0878