Numerical radius inequalities for operator matrices

DOI10.1080/03081080801915792zbMath1169.47006OpenAlexW2063867280MaRDI QIDQ5902091

Fuad Kittaneh, Wathiq Bani-Domi

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1080/03081080801915792

zbMATH Keywords

zeros of polynomialsinequalitycompanion matrixnumerical radiusoperator matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (13)

A novel numerical radius upper bounds for 2 × 2 operator matrices ⋮ New upper bounds for the numerical radius of operators on Hilbert spaces ⋮ Numerical radius inequalities and its applications in estimation of zeros of polynomials ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ On the Davis–Wielandt radius inequalities of Hilbert space operators ⋮ On the \(\rho\)-operator radii ⋮ Numerical radius inequalities for certain \(2 \times 2\) operator matrices ⋮ Numerical radius inequalities for \(n \times n\) operator matrices ⋮ On Berezin number inequalities for operator matrices ⋮ Numerical radius inequalities for Hilbert space operators ⋮ Refinements of some numerical radius inequalities for Hilbert space operators ⋮ Berezin number and numerical radius inequalities for operators on Hilbert spaces ⋮ Some extended numerical radius inequalities

Cites Work

• Norm equalities and inequalities for operator matrices
• Notes on some inequalities for Hilbert space operators
• Norm inequalities of positive operator matrices
• Gersgorin sets and the field of values
• 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
• NORM INEQUALITIES EQUIVALENT TO LÖWNER-HEINZ THEOREM
• Numerical radius inequalities for Hilbert space operators. II
• Norm inequalities for certain operator sums

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