Generalized spectral radius and norm inequalities for Hilbert space operators

DOI10.1142/S0129167X15500974zbMath1336.47010MaRDI QIDQ2788765

Amer Abu-Omar, Fuad Kittaneh

Publication date: 22 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral radiusinequalityoperator normnumerical radiusAluthge transformoperator matrix

Mathematics Subject Classification ID

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

Related Items (4)

Numerical radius inequalities for certain \(2\times 2\) operator matrices. II ⋮ Generalizations of the Aluthge transform of operators ⋮ Bounds for zeros of a polynomial using numerical radius of Hilbert space operators ⋮ Further norm inequalities for sums of operators

Cites Work

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• Upper and lower bounds for the numerical radius with an application to involution operators
• Numerical range and accretivity of operator products
• The matrix arithmetic-geometric mean inequality revisited
• Numerical radius inequalities for \(n \times n\) operator matrices
• Matrix Analysis
• A characterization of spectraloid operators and its generalization
• Spectral radius inequalities for Hilbert space operators

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