New extension of quasi-$ M $-hypnormal operators

Ohud Bulayhan Almutairi; Sid Ahmed Ould Ahmed Mahmoud; Ohud Bulayhan Almutairi; Sid Ahmed Ould Ahmed Mahmoud

doi:10.3934/math.20241038

AIMS Mathematics

2024, Volume 9, Issue 8: 21383-21396. doi: 10.3934/math.20241038

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Research article

New extension of quasi-$ M $-hypnormal operators

Ohud Bulayhan Almutairi ^{1
,
,},
Sid Ahmed Ould Ahmed Mahmoud ^{2
,}

1.
Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin, 31991, Saudi Arabia
2.
Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia; Email: Sidahmed@ju.edu.sa

Received: 27 April 2024 Revised: 15 June 2024 Accepted: 27 June 2024 Published: 03 July 2024
MSC : 47A05, 47A10, 47A11

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 $-hyponormal operators.
- M-hyponormal,
- quasi-M-hyponormal
Citation: Ohud Bulayhan Almutairi, Sid Ahmed Ould Ahmed Mahmoud. New extension of quasi-$ M $-hypnormal operators[J]. AIMS Mathematics, 2024, 9(8): 21383-21396. doi: 10.3934/math.20241038

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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.

References

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