New extension of quasi-$ M $-hypnormal operators-Reference-Cited by-同舟云学术

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New extension of quasi-$ M $-hypnormal operators

Published:2024 Issue:8 Volume:9 Page:21383-21396
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Almutairi Ohud Bulayhan¹,Mahmoud Sid Ahmed Ould Ahmed²

Affiliation:

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

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.

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference15 articles.

1. M. Chō, B. N. Na$\breve{c}$tovska, Spectral properties of $n$-normal operators, Filomat, 32 (2018), 5063–5069. https://doi.org/10.2298/FIL1814063C

2. M. Chō, J. E. Lee, K. Tanahashic, A. Uchiyamad, Remarks on $n$-normal operators, Filomat, 32 (2018), 5441–5451. https://doi.org/10.2298/FIL1815441C

3. J. B. Conway, A course in functional analysis, 2 Eds., Berlin: Springer, 1990.

4. N. L. Braha, M. Lohaj, F. H. Marevci, S. Lohaj, Some properties of paranormal and hyponormal operators, Bull. Math. Anal. Appl., 1 (2009), 23–35.

5. J. G. Stamofi, Hyponormal operators, Pac. J. Math., 12 (1962), 1453–1458. https://doi.org/10.2140/pjm.1962.12.1453

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