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Bibliographic Details
Main Authors: Semmami, Rachid, Ezzahraoui, Hamid
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.01516
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Table of Contents:
  • 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, $n$-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, $n$-EP and $n$-hypo-EP.