[PDF][PDF] ON m–QUASI–TOTALLY–(α, β)–NORMAL OPERATORS

R Pradeep - Operators and Matrices, 2021 - ir.psgcas.ac.in
An operator S acting on a Hilbert space is called m-quasi-totally-(α, β)-normal (0 α 1 β) if α2S
m∗(S− λ)∗(S− λ) S m S m∗(S− λ)(S− λ)∗ S m β2S m∗(S− λ)∗(S− λ) S m for a natural …

[PDF][PDF] Class of -power-hyponormal operators in semi-Hilbertian space

C Chellali, A Benali - Func. Anal. Approx. Comput, 2019 - researchgate.net
In this paper, the concept of n-power-hyponormal operators on a Hilbert space defined by
Messaoud Guesba and Mostefa Nadir in [11] is generalized when an additional semi-inner …

On --normal and --quasinormal semi-Hilbertian space operators

S Al Mohammady, SA Ould Beinane… - Mathematica …, 2022 - dml.cz
The purpose of the paper is to introduce and study a new class of operators on semi-
Hilbertian spaces, ie spaces generated by positive semi-definite sesquilinear forms. Let …

(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 …

INEQUALITIES INVOLVING NUMERICAL RADIUS AND OPERATOR NORM FOR A CLASS OF OPERATORS RELATED TO (α, β)-CLASS (Q) OPERATORS.

EMA ALI SALIH… - Journal of …, 2024 - search.ebscohost.com
INEQUALITIES INVOLVING NUMERICAL RADIUS AND OPERATOR NORM FOR A CLASS
OF OPERATORS RELATED TO (α, β)-CLASS (Q) OPERATORS 1. In Page 1 Journal of …

Inequalities Involving A‐Numerical Radius and Operator A‐Norm for a Class of Operators Related to (α, β) − A‐Normal Operators

SA Ould Ahmed Mahmoud, SH Jah - Journal of Mathematics, 2022 - Wiley Online Library
In this article, we introduce and study a new class of operators, larger than (α, β)− A‐normal
operators and different than (α, β)− A‐normal operators, named m‐quasi‐(α, β)− A‐normal …

[PDF][PDF] -Normal Operators in Several Variables

SAO Ahmed Mahmoud, AH Ahmed… - Mathematical Problems …, 2022 - researchgate.net
1. Introduction rough this paper, we denote Hilbert space over the field of complex numbers
C by (H,〈.|.〉). We write B (H) for the set of all bounded linear operators on H. For an …

Class of (n, m)-Power-D-Hyponormal Operators in Hilbert Space

C Chellali, A Benali - International Journal of Analysis and …, 2020 - etamaths.com
In this paper, we introduce a new classes of operators acting on a complex Hilbert space H,
denoted by [(n, m) DH], called (n, m)-power-D-hyponormal associated with a Drazin …

[PDF][PDF] INEQUALITIES INVOLVING NUMERICAL RADIUS AND OPERATOR NORM FOR A CLASS OF OPERATORS RELATED

EMAALI SALIH, SIDAOA MAHMOUD - ilirias.com
INEQUALITIES INVOLVING NUMERICAL RADIUS AND OPERATOR NORM FOR A CLASS
OF OPERATORS RELATED TO (α, β)-CLASS (Q) OPERATORS 1. In Page 1 Journal of …

On (N, M)-a-normal And (N, M)-a-quasinormal Semi-Hilbert Space Operators

SA Mohammady, SAO Beinane… - arXiv preprint arXiv …, 2019 - arxiv.org
arXiv:1912.03304v1 [math.GM] 4 Dec 2019 Page 1 arXiv:1912.03304v1 [math.GM] 4 Dec
2019 ON (n,m)-A-NORMAL AND (n,m)-A-QUASINORMAL SEMI- HILBERT SPACE …