On The extension Bi-Normality of Linear Operators

Authors

  • Anas A. Hijab Mathematics Department, College of Education for Pure Sciences, Tikrit University, Salah Al Deen, Iraq https://orcid.org/0000-0001-5001-1937
  • Elaf Sabah Abdulwahid Mathematics Department, College of Education for Women, Tikrit University, Salah Al Deen, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.4.24

Keywords:

Bi-normality set, Unitary operator, Quasi-similar operator, Similar operator, Aluthge transformation

Abstract

    In this paper, we introduce the bi-normality set, denoted by , which is an extension of the normality set, denoted by  for any operators  in the Banach algebra . Furthermore, we show some interesting properties and remarkable results. Finally, we prove that it is not invariant via some transpose linear operators.

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Published

2023-04-30

Issue

Section

Mathematics

How to Cite

On The extension Bi-Normality of Linear Operators. (2023). Iraqi Journal of Science, 64(4), 1844-1852. https://doi.org/10.24996/ijs.2023.64.4.24
Crossref
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Scopus
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Shaakir L.K. (2023-01-01)
The Class of Weakly Normal Operators. Iraqi Journal of Science, 64(7), 3531-3537.

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