Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices

DOI10.7153/mia-2021-24-12OpenAlexW3134962140MaRDI QIDQ4991564

Kallol Paul, Pintu Bhunia, Raj Kumar Nayak

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.04499

zbMATH Keywords

Hilbert spaceoperator normnumerical 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 (18)

Some \(\mathbb{A}\)-numerical radius inequalities for \(d\times d\) operator matrices ⋮ Development of inequalities and characterization of equality conditions for the numerical radius ⋮ Refinements of norm and numerical radius inequalities ⋮ Berezin number inequalities of operators on reproducing kernel Hilbert spaces ⋮ A convex treatment of numerical radius inequalities ⋮ Some improvements of numerical radius inequalities of operators and operator matrices ⋮ Development of the Berezin number inequalities ⋮ Numerical radius inequalities of sectorial matrices ⋮ On the convergence of some spectral characteristics of the converging operator sequences ⋮ Estimations of zeros of a polynomial using numerical radius inequalities ⋮ Furtherance of numerical radius inequalities of Hilbert space operators ⋮ Some bounds for the $\mathbb{A}$-numerical radius of certain $2 \times 2$ operator matrices ⋮ On inequalities for A-numerical radius of operators ⋮ On a new norm on \(\mathcal{B}(\mathcal{H})\) and its applications to numerical radius inequalities ⋮ On numerical radius bounds involving generalized Aluthge transform ⋮ Norm and numerical radius inequalities for sum of operators ⋮ On the p-numerical radii of Hilbert space operators ⋮ Numerical radius inequalities of \(2\times 2\) operator matrices

Cites Work

• Numerical radius inequalities for certain \(2 \times 2\) operator matrices
• On numerical radius of a matrix and estimation of bounds for zeros of a polynomial
• Estimation of bounds for the zeros of a polynomial using numerical radius
• Norm inequalities of positive operator matrices
• Cartesian decomposition and numerical radius inequalities
• Numerical radius inequalities for certain \(2\times 2\) operator matrices. II
• Numerical radius inequalities and its applications in estimation of zeros of polynomials
• On upper and lower bounds of the numerical radius and an equality condition
• Numerical radius inequalities for Hilbert space operators
• Bounds of numerical radius of bounded linear operators using t-Aluthge transform
• Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
• On Numerical Radius Inequalities for Operator Matrices
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