Some generalizations of numerical radius on off-diagonal part of 2 × 2 operator matrices

DOI10.7153/jmi-2018-12-33OpenAlexW2963300867MaRDI QIDQ4576078

Mojtaba Bakherad, Monire Hajmohamadi, Rahmatollah Lashkaripour

Publication date: 12 July 2018

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05040

zbMATH Keywords

Cartesian decompositionpositive operatorJensen inequalitynumerical radiusYoung inequalityoperator meanoperator matrixoff-diagonal part

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Linear composition operators (47B33)

Related Items

Unnamed Item ⋮ On the geometry of the quadratic numerical range for 2 × 2 block operator matrices ⋮ Some inequalities involving Hilbert-Schmidt numerical radius on 2 x 2 operator matrices ⋮ Generalizations of the Aluthge transform of operators ⋮ Numerical radius inequalities for nonlinear operators in Hilbert spaces ⋮ Davis-Wielandt radius inequalities for off-diagonal operator matrices ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ The weighted and the Davis-Wielandt Berezin number ⋮ Improvements of Berezin number inequalities ⋮ Unnamed Item ⋮ Some extensions of the Young and Heinz inequalities for matrices ⋮ Further refinements of generalized numerical radius inequalities for Hilbert space operators ⋮ The weighted numerical radius ⋮ Upper bounds for numerical radius inequalities involving off-diagonal operator matrices ⋮ Complete refinements of the Berezin number inequalities ⋮ \(A\)-numerical radius inequalities for semi-Hilbertian space operators ⋮ Some general quadratic numerical radius inequalities for the off-diagonal parts of $2 ⨉ 2$ block operator matrices

Cites Work

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• Numerical radius inequalities for \(n \times n\) operator matrices
• 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 Hilbert space operators

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