Hilbert-Schmidt numerical radius inequalities for operator matrices

DOI10.1016/j.laa.2019.07.004zbMath1454.47007OpenAlexW2957423462MaRDI QIDQ2273867

Fuad Kittaneh, Alaa Aldalabih

Publication date: 18 September 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.07.004

zbMATH Keywords

operator normHilbert-Schmidt normoperator matrixnumerical radius inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Numerical range, numerical radius (47A12) Operator matrices (47A08)

Related Items (12)

Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices ⋮ Some inequalities involving Hilbert-Schmidt numerical radius on 2 x 2 operator matrices ⋮ Refinement of triangle inequality for the Schatten \(p\)-norm ⋮ Some new numerical radius and Hilbert-Schmidt numerical radius inequalities for Hilbert space operators ⋮ The weighted Hilbert-Schmidt numerical radius ⋮ Singular value and norm inequalities involving the numerical radii of matrices ⋮ Hilbert-Schmidt numerical radius of a pair of operators ⋮ Hilbert-Schmidt numerical radius inequalities for certain \(2 \times 2\) operator matrices ⋮ Generalized numerical radius inequalities involving positive semidefinite block matrices ⋮ Spectral radius inequalities for operator matrices with commuting entries ⋮ Some new refinements of generalized numerical radius inequalities for Hilbert space operators ⋮ Norm inequalities involving the weighted numerical radii of operators

Cites Work

• Numerical radius inequalities for certain \(2 \times 2\) operator matrices
• Inequalities for commutators of positive operators
• Norm estimates related to self-commutators
• Norm inequalities for sums and differences of positive operators
• Cartesian decomposition and numerical radius inequalities
• A generalization of the numerical radius
• Numerical radius inequalities for \(n \times n\) operator matrices
• On upper and lower bounds of the numerical radius and an equality condition

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