Further inequalities for the numerical radius of Hilbert space operators

DOI10.7153/jmi-2019-13-68zbMath1435.47013arXiv1907.06003OpenAlexW3002764010WikidataQ126303633 ScholiaQ126303633MaRDI QIDQ5217460

Shigeru Furuichi, Hamid Reza Moradi, Sara Tafazoli, Panackal Harikrishnan

Publication date: 28 February 2020

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

Full work available at URL: https://arxiv.org/abs/1907.06003

zbMATH Keywords

convex functionoperator inequalitynorm inequalitynumerical radius\(f\)-connectionweighted arithmetic-geometric mean inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (11)

New estimates on numerical radius and operator norm of Hilbert space operators ⋮ Some refinements of numerical radius inequalities for 2 × 2 operator matrices ⋮ Numerical radius inequalities via triangle-type inequalities ⋮ Better bounds on the numerical radii of Hilbert space operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Refined and generalized numerical radius inequalities for \(2 \times 2\) operator matrices ⋮ On numerical radius bounds involving generalized Aluthge transform ⋮ Some extended numerical radius inequalities ⋮ Norm and numerical radius inequalities for Hilbert space operators ⋮ New estimates for the numerical radius of Hilbert space operators

Cites Work

• Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
• Numerical radius and operator norm inequalities
• Notes on some inequalities for Hilbert space operators
• Weak majorization inequalities and convex functions
• Further improvements of Young inequality
• On further refinements for Young inequalities
• A numerical radius inequality involving the generalized Aluthge transform
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for Hilbert space operators
• New sharp inequalities for operator means
• A numerical radius version of the arithmetic-geometric mean of operators
• Numerical radius inequalities for Hilbert space operators. II
• Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
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