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Research Article | Open Access

New extension of quasi- M-hypnormal operators

Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin, 31991, Saudi Arabia
Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia; Email: Sidahmed@ju.edu.sa
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Abstract

This study introduces a new class of operators called polynomilally quasi- M-hyponormal, which combining M-hyponormal, quasi- M-hyponormal, and k-quasi- M-hyponormal operators. We will demonstrate several properties of this class that correspond to those of k-quasi- M-hyponormal operators.

Keywords

M-hyponormalquasi-M-hyponormal
CLC number: 47A05, 47A10, 47A11

References

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 21383-21396
DOI: 10.3934/math.20241038

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Cite this article:
Almutairi OB, Mahmoud SAOA. New extension of quasi- M-hypnormal operators. AIMS Mathematics, 2024, 9(8): 21383-21396. https://doi.org/10.3934/math.20241038

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Received: 27 April 2024
Revised: 15 June 2024
Accepted: 27 June 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)