Joint m-quasihyponormal operators on a Hilbert space

Mahmoud, Sid Ahmed Ould Ahmed; Alshammari, Hadi Obaid

doi:10.1007/s43034-021-00130-z

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…Recently, the first named author in [23] has introduced the concept of joint m-quasi-hyponormal tuple of operators as follows. An m-tuple of operators T…”

Section: Introductionmentioning

confidence: 99%

“…e study of classes of operators and related topics is one of the hottest areas in operator theory in Hilbert spaces. In this work, we are going to consider an extension of the concept of (α, β)-normal operators in single variable 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 (for more details, see [21][22][23]).…”

Section: Introductionmentioning

confidence: 99%

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

Mahmoud

Himadan

Sarosh

2022

Mathematical Problems in Engineering

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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.

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“…Recently, the first named author in [23] has introduced the concept of joint m-quasi-hyponormal tuple of operators as follows. An m-tuple of operators T…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Mahmoud

Himadan

Sarosh

2022

Mathematical Problems in Engineering

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Higher order $(n,m)$-Drazin normal operators

AlShammari

2024

J Inequal Appl

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The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ ( n , m ) -$\mathcal{D}$ D -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n-$\mathcal{D}$ D -normal and $(n,m)$ ( n , m ) -$\mathcal{D}$ D -normal operators and explore some of their basic properties.

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