Numerical Radius Inequalities for Commutators of Hilbert Space Operators

DOI10.1080/01630563.2011.580875zbMath1227.47003OpenAlexW2083664228MaRDI QIDQ3173500

Omar Hirzallah, Fuad Kittaneh, Khalid Shebrawi

Publication date: 10 October 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.580875

zbMATH Keywords

operator normcommutatornumerical radius

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Numerical range, numerical radius (47A12) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (20)

Sharpening some classical numerical radius inequalities ⋮ General numerical radius inequalities for matrices of operators ⋮ A novel numerical radius upper bounds for 2 × 2 operator matrices ⋮ Numerical radius inequalities for certain \(2\times 2\) operator matrices. II ⋮ Generalizations of the Aluthge transform of operators ⋮ Notes on some spectral radius and numerical radius inequalities ⋮ Numerical radius inequalities for nonlinear operators in Hilbert spaces ⋮ Mean Inequalities for the Numerical Radius ⋮ On the \(\rho\)-operator radii ⋮ New unitary equivalences for some operator matrices with applications ⋮ Further inequalities for the \(\mathbb{A}\)-numerical radius of certain \(2 \times 2\) operator matrices ⋮ Numerical radius inequalities for certain \(2 \times 2\) operator matrices ⋮ Generalized numerical radius inequalities of operators in Hilbert spaces ⋮ Singular value and unitarily invariant norm inequalities for sums and products of operators ⋮ On inequalities for A-numerical radius of operators ⋮ Inequalities for operator space numerical radius of 2 × 2 block matrices ⋮ Further results on \(A\)-numerical radius inequalities ⋮ Numerical radius inequalities involving commutators of \(G_{1}\) operators ⋮ \(A\)-numerical radius inequalities for semi-Hilbertian space operators ⋮ A new approach to numerical radius of quadratic operators

Cites Work

• Norm equalities and inequalities for operator matrices
• Positive definite matrices
• Unitarily Invariant Operator Norms
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix

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