On Numerical Radius Inequalities for Operator Matrices

DOI10.1080/01630563.2018.1549073OpenAlexW2942729224MaRDI QIDQ5378385

Hanane Guelfen, Fuad Kittaneh

Publication date: 12 June 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1549073

zbMATH Keywords

spectral radiusinequalitynumerical radiusoperator matrix

Mathematics Subject Classification ID

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

Related Items (11)

Some \(\mathbb{A}\)-numerical radius inequalities for \(d\times d\) operator matrices ⋮ Gaps between some spectral characteristics of direct sum of Hilbert space operators ⋮ Estimates for the numerical radius of n × n operator matrices ⋮ Some gap relations between operator norm with spectral and numerical radii of direct sum Hilbert space operators ⋮ Numerical radius inequalities for operator matrices and applications to the polynomial eigenvalue problem ⋮ New estimations for zeros of polynomials using numerical radius and similarity of matrices ⋮ New unitary equivalences for some operator matrices with applications ⋮ Improvements of \(A\)-numerical radius bounds ⋮ Spectral radius inequalities for operator matrices with commuting entries ⋮ Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices ⋮ Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical radius inequalities for certain \(2 \times 2\) operator matrices
• Geometric computation of the numerical radius of a matrix
• Norm inequalities of positive operator matrices
• Numerical radius inequalities for certain \(2\times 2\) operator matrices. II
• Numerical radius inequalities for \(n \times n\) operator matrices
• Numerical radius inequalities for 2×2 operator matrices
• Sup and Max Properties for the Numerical Radius of Operators in Banach Spaces
• 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

This page was built for publication: On Numerical Radius Inequalities for Operator Matrices