<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")" separators="|"> <mrow> <mi>α</mi> <mo>,</mo> <mi>β</mi> </mrow> </mfenced> </math>-Normal Operators in Several Variables-Reference-Cited by-同舟云学术

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$(α, β)$ -Normal Operators in Several Variables

Published:2022-06-15 Issue: Volume:2022 Page:1-11
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Ahmed Mahmoud Sid Ahmed Ould¹^ORCID,Ahmed Ahmed Himadan²^ORCID,Sarosh Ahmad¹^ORCID

Affiliation:

1. Department of Mathematics College of Science, Jouf University, Sakaka, P. O. Box 2014, Saudi Arabia

2. Department of Mathematics College of Science and Arts, Qassim University, Ar-Rass, Saudi Arabia

Abstract

We consider an extension of the concept of

(α, β)

-normal operators in single variable operator to tuples of operators, similar to those extensions of the concepts of normality to joint normality, hyponormality to joint hyponormality, and quasi-hyponormality to joint quasi-hyponormality.

Funder

Jouf University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/3020449.pdf

Reference26 articles.

1. Some properties of paranormal and hyponormal operators;N. L. Braha;Bulletin of Mathematical Analysis and Applications,2009

2. Hyponormal operators. Pac;J. G. Stamofli;Journal of Mathematics,1962

3. On α,β-normal operators in Hilbert spaces;M. S. Moslehian;Image,2007

4. Fuglede–Putnam theorem for $$(\alpha , \beta )$$-normal operators

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