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<p>In this article, we introduce the class of (<i>n</i>,&#xa0;<i>m</i>)-EP operators on Hilbert space. This family includes posinormal operators, <i>n</i>-EP operators and (<i>n</i>,&#xa0;<i>m</i>)-power normal operators. We give some characteristic properties of this class. As an application, we obtain new characterizations of EP, <i>n</i>-EP, normal, <i>n</i>-normal and (<i>n</i>,&#xa0;<i>m</i>)-power normal operators.</p>

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On (n, m)-EP operators

  • 期刊论文

  • 发表日期：

    2026年2月19日

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  • R. Semmami,
  • H. Ezzahraoui

摘要

In this article, we introduce the class of (n, m)-EP operators on Hilbert space. This family includes posinormal operators, n-EP operators and (n, m)-power normal operators. We give some characteristic properties of this class. As an application, we obtain new characterizations of EP, n-EP, normal, n-normal and (n, m)-power normal operators.