Refined and generalized numerical radius inequalities for \(2 \times 2\) operator matrices

DOI10.1016/j.laa.2021.04.001zbMath1466.15017OpenAlexW3158478455MaRDI QIDQ2029840

Watheq Bani-Domi, Fuad Kittaneh

Publication date: 4 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.04.001

zbMATH Keywords

triangle inequalitySchwarz inequalitynumerical radiusoperator matrixBuzano inequalityusual operator norm

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) Miscellaneous inequalities involving matrices (15A45)

Related Items (14)

Estimates for the numerical radius of n × n operator matrices ⋮ A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Some refinements of numerical radius inequalities for 2 × 2 operator matrices ⋮ Numerical radius inequalities for indefinite inner product space operators ⋮ Numerical radius inequalities for the off-diagonal parts of 2 × 2 operator matrices ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ Inequalities for the weighted A-numerical radius of semi-Hilbertian space operators ⋮ Some new numerical radius and Hilbert-Schmidt numerical radius inequalities for Hilbert space operators ⋮ The weighted Hilbert-Schmidt numerical radius ⋮ On the convergence of some spectral characteristics of the converging operator sequences ⋮ Numerical radius inequalities for finite sums of operators ⋮ Spectral radius inequalities for operator matrices with commuting entries ⋮ On the p-numerical radii of Hilbert space operators ⋮ Numerical radius inequalities of \(2\times 2\) operator matrices

Cites Work

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