Some upper bounds for the Davis-Wielandt radius of Hilbert space operators

DOI10.1007/s00009-019-1458-zzbMath1441.47003OpenAlexW2995239766WikidataQ126560190 ScholiaQ126560190MaRDI QIDQ2295497

Yanyan Li

Publication date: 13 February 2020

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

Full work available at URL: https://doi.org/10.1007/s00009-019-1458-z

zbMATH Keywords

inequalityoperator normnumerical radiusDavis-Wielandt radius

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Numerical range, numerical radius (47A12) Linear spaces of operators (47L05)

Related Items (12)

A-numerical radius and A-norm inequalities for semi-Hilbertian space operators ⋮ Some refinements of numerical radius inequalities for 2 × 2 operator matrices ⋮ Generalized upper bounds estimation of numerical radius and norm for the sum of operators ⋮ Davis-Wielandt radius inequalities for off-diagonal operator matrices ⋮ Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators ⋮ Some sharp estimations for Davis-Wielandt radius in \(B(H)\) ⋮ On the Davis–Wielandt radius inequalities of Hilbert space operators ⋮ Quaternionic Davis-Wielandt shell in a right quaternionic Hilbert space ⋮ Bounds for the Davis-Wielandt radius of bounded linear operators ⋮ New inequalities for Davis-Wielandt radius of Hilbert space operators ⋮ On generalized Davis-Wielandt radius inequalities of semi-Hilbertian space operators ⋮ Davis-Wielandt-Berezin radius inequalities via Dragomir inequalities

Cites Work

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• On eigenvalues of sums of normal matrices
• Extensions of Euclidean operator radius inequalities
• On upper and lower bounds of the numerical radius and an equality condition
• Davis-Wielandt shells of operators
• Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators
• Davis-Wielandt shell and \(q\)-numerical range

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