On polynomially hypo-EP operators
Functional Analysis
2024-12-03 v1
Abstract
The purpose of this paper is to present a new class of operators known as polynomially hypo-EP operators, extending the notation of hypo-EP, -hypo-EP, and polynomially EP. The paper explores numerous properties and characterizations of polynomially hypo-EP operators and polynomially EP operators. In addition, we characterize polynomially hypo-EP operators applying the adequate operator matrix representations. By employing these findings, we derive new characterizations of EP, hypo-EP, -EP and -hypo-EP.
Keywords
Cite
@article{arxiv.2412.01516,
title = {On polynomially hypo-EP operators},
author = {Rachid Semmami and Hamid Ezzahraoui},
journal= {arXiv preprint arXiv:2412.01516},
year = {2024}
}