Numerical radius inequalities involving commutators of \(G_{1}\) operators

DOI10.1007/s11785-017-0726-9zbMath1480.47010arXiv1709.01850OpenAlexW2964068782MaRDI QIDQ2313038

Fuad Kittaneh, Mojtaba Bakherad

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01850

zbMATH Keywords

analytic functioncommutatornumerical radius\(G_{1}\) operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Numerical range, numerical radius (47A12)

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Cites Work

• Unnamed Item
• Unnamed Item
• Inequalities for generalized Euclidean operator radius via Young's inequality
• Unitarily invariant norm inequalities for elementary operators involving \(G_{1}\) operators
• Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials
• Numerical radius inequalities for certain \(2 \times 2\) operator matrices
• Operators satisfying a \(G_1\) condition
• Derivations, derivatives and chain rules
• Krylov subspace methods for the generalized Sylvester equation
• Notes on some spectral radius and numerical radius inequalities
• Numerical Radius Inequalities for Commutators of Hilbert Space Operators
• On upper and lower bounds of the numerical radius and an equality condition
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for products of Hilbert space operators
• MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES
• Norm inequalities for commutators of \(G_1\) operators