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Rachid Semmami

Publications and source records attributed to Rachid Semmami.

2 recordsLinked to original sources
arXiv2024

On polynomially hypo-EP operators

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.

math.FA↗
arXiv2024

On some properties of $n$-EP and $n$-hypo-EP operators

This article, is devoted to $n$-EP and $n$-hypo-EP operators. We give some characteristic properties of these two classes and various links with other known classes in the literature, especially the classes of EP, SD, hypo-EP and $n$-normal operators.

math.FA↗