Numerical radius inequalities for certain \(2\times 2\) operator matrices. II

DOI10.1016/j.laa.2017.02.019zbMath1453.47001OpenAlexW2587812488MaRDI QIDQ2400241

Khalid Shebrawi

Publication date: 28 August 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.02.019

zbMATH Keywords

spectral radiusinequalityoperator normnumerical radiusAluthge transformoperator matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Operator matrices (47A08)

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Cites Work

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• Numerical radius inequalities for certain \(2 \times 2\) operator matrices
• Numerical radius and operator norm inequalities
• Bounds for the zeros of polynomials from matrix inequalities
• Norm inequalities of positive operator matrices
• Numerical radius inequalities for \(n \times n\) operator matrices
• Generalized spectral radius and norm inequalities for Hilbert space operators
• A numerical radius inequality involving the generalized Aluthge transform
• Numerical radius inequalities for 2×2 operator matrices
• 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
• Norm inequalities for certain operator sums

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