On a Generalization of Quasi-Paranormal Operator Imposedby Norm Inequality

Salim Dawood  Mohsen; Shahad Khalaf  Qasim

doi:10.24996/ijs.2026.67.11.25

Authors

Salim Dawood Mohsen Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Shahad Khalaf Qasim Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2026.67.11.25

Keywords:

Hilbert space, paranormal operator, quasi-paranormal operator

Abstract

In Functional Analysis (FA), Operator Theory (OT) is an attractive aspect for the persistent refinement of scientific research. The study is conducted on the employment of norm inequality in the context of Hilbert space to evaluate the generalized quasi-paranormal operator. In this effort, a novel class of quasi-paranormal operators is introduced. Additionally, various analytic and algebraic features of the central outcome, which involves an operator formulated by the inequality principle, are investigated.