Isometric, Symmetric and Isosymmetric Commuting d-Tuples of Banach Space Operators

BP Duggal, IH Kim - Results in Mathematics, 2023 - Springer
Generalising the definition to commuting d-tuples of operators, a number of authors have
considered structural properties of m-isometric, n-symmetric and (m, n)-isosymmetric …

Joint A-hyponormality of operators in semi-Hilbert spaces

M Guesba, EM Ould Beiba… - Linear and Multilinear …, 2021 - Taylor & Francis
The purpose of the paper is to introduce and study a class of multivariable operators on semi-
Hilbertian spaces, ie spaces generated by positive semidefinite sesquilinear forms. Let T=(T …

Some Results on (A; (mn))-Isosymmetric Operators on a Hilbert Space

R Rabaoui - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper, we introduce the class of (A;(m, n))-isosymmetric operators and we study some
of their properties, for a positive semi-definite operator A and m, n ∈ N m, n∈ N, which …

Class of operators related to a -isometric tuple of commuting operators

AA Al Dohiman, SA Ould Ahmed Mahmoud - Journal of Inequalities and …, 2022 - Springer
Class of operators related to a $(m,C)$ -isometric tuple of commuting operators | SpringerLink
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Joint m-quasihyponormal operators on a Hilbert space

SAOA Mahmoud, HO Alshammari - Annals of Functional Analysis, 2021 - Springer
In this paper, We introduce a new class of multivariable operators known as joint m-
quasihyponormal tuple of operators. It is a naturel extension of joint normal and joint …

On (A, m, n)-isosymmetric commuting tuples of operators on a Hilbert space

H LAKRIMI, O BENCHIHEB… - in Rocky Mountain …, 2023 - projecteuclid.org
In this paper, we consider a generalization of (A, m, n)-isosymmetric operators on a Hilbert
space to the multivariable setting. For a d-tuple of commuting operators T=(T1,..., Td), A a …

Some results on higher order symmetric operators

J Shen, F Zuo, A Chen - Filomat, 2023 - doiserbia.nb.rs
For some operator A∈ B (H), positive integers m and k, an operator T∈ B (H) is called k-
quasi-(A, m)-symmetric if T* k (mP j= 0 (− 1) j (mj) T* m− jATj) Tk= 0, which is a …

[PDF][PDF] Joint n-normality of linear transformations

AA Al-Dohiman - J. Math. Comput. Sci, 2022 - scholar.archive.org
Joint n-normality of linear transformations Page 1 J. Math. Computer Sci., 25 (2022), 361–369
Online: ISSN 2008-949X Journal Homepage: www.isr-publications.com/jmcs Joint n-normality …

Higher order -Drazin normal operators

HO AlShammari - Journal of Inequalities and Applications, 2024 - Springer
The purpose of this paper is to introduce and study the structure of p-tuple of (n, m)-D-normal
operators. This is a generalization of the class of p-tuple of n-normal operators. We consider …

(α, β)‐Normal Operators in Several Variables

SAO Ahmed Mahmoud, AH Ahmed… - Mathematical Problems …, 2022 - Wiley Online Library
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 …