Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators

DOI10.1080/03081087.2018.1484422OpenAlexW2884171618WikidataQ129458744 ScholiaQ129458744MaRDI QIDQ5235767

Mao-Ting Chien, Hiroshi Nakazato, Ali Zamani, Mohammad Sal Moslehian

Publication date: 14 October 2019

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

Full work available at URL: https://arxiv.org/abs/1811.00440

zbMATH Keywords

numerical radiusBirkhoff-James orthogonalityDavis-Wielandt radiusnorm-parallelism

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Numerical range, numerical radius (47A12) Linear spaces of operators (47L05)

Related Items (16)

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 ⋮ On the Davis–Wielandt radius inequalities of Hilbert space operators ⋮ Further refinements of Davis-Wielandt radius inequalities ⋮ Theta divisor and Abel map for 4-by-4 matrices ⋮ Unnamed Item ⋮ Bounds for the Davis-Wielandt radius of bounded linear operators ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Some upper bounds for the Davis-Wielandt radius of Hilbert space operators ⋮ New inequalities for Davis-Wielandt radius of Hilbert space operators ⋮ Parallelism in Hilbert \(K(\mathcal{H})\)-modules ⋮ Birkhoff-James orthogonality of operators in semi-Hilbertian spaces and its applications ⋮ \(A\)-numerical radius inequalities for semi-Hilbertian space operators ⋮ Davis-Wielandt shells of semi-Hilbertian space operators and its applications ⋮ On generalized Davis-Wielandt radius inequalities of semi-Hilbertian space operators

Cites Work

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• Linear Operators Preserving the Numerical Radius of Matrices
• On upper and lower bounds of the numerical radius and an equality condition
• Davis-Wielandt shells of operators
• Characterizations of Operator Birkhoff–James Orthogonality
• Numerical radius inequalities for Hilbert space operators
• Exact and Approximate Operator Parallelism

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