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arXiv · 2412.01516

On polynomially hypo-EP operators

Rachid Semmami·Hamid Ezzahraoui
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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, $n$-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.

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Rachid Semmami, Hamid Ezzahraoui. 2024-12-02. On polynomially hypo-EP operators. https://arxiv.org/abs/2412.01516

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