The Class of Weakly Normal Operators

Laith K. Shaakir; Elaf S. Abdulwahid; Anas A. Hijab

doi:10.24996/ijs.2023.64.7.32

Authors

Laith K. Shaakir Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq https://orcid.org/0000-0001-5092-7865
Elaf S. Abdulwahid Department of Mathematics, College of Education for Women, Tikrit University, Iraq https://orcid.org/0000-0002-9052-2675
Anas A. Hijab Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Iraq https://orcid.org/0000-0001-5001-1937

DOI:

https://doi.org/10.24996/ijs.2023.64.7.32

Keywords:

weakly normal operators, normal operators, n-normal operators, projection

Abstract

Our purpose in this paper is to introduce new operators on Hilbert space which is called weakly normal operators. Some basic properties of these operators are studied in this research. In general, weakly normal operators need not be normal operator, -normal operators and quasi-normal operators.