Development of inequalities and characterization of equality conditions for the numerical radius

DOI10.1016/j.laa.2021.08.014OpenAlexW3195313676MaRDI QIDQ821019

Pintu Bhunia, Kallol Paul

Publication date: 29 September 2021

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

Full work available at URL: https://arxiv.org/abs/2105.09715

zbMATH Keywords

operator normbounded linear operatornumerical radius

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)

Related Items (17)

A geometric approach to numerical radius inequalities ⋮ Generalized upper bounds estimation of numerical radius and norm for the sum of operators ⋮ Numerical radius inequalities for indefinite inner product space operators ⋮ Inequalities involving Berezin norm and Berezin number ⋮ Corrigendum to: ``Development of inequalities and characterization of equality conditions for the numerical radius ⋮ Improved inequalities for numerical radius via Cartesian decomposition ⋮ Numerical radius inequalities of sectorial matrices ⋮ Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators ⋮ On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities ⋮ Numerical radius inequalities for tensor product of operators ⋮ Improvements of \(A\)-numerical radius bounds ⋮ Improved bounds for the numerical radius via polar decomposition of operators ⋮ On the convergence of some spectral characteristics of the converging operator sequences ⋮ Generalized Cartesian decomposition and numerical radius inequalities ⋮ Unnamed Item ⋮ Furtherance of numerical radius inequalities of Hilbert space operators ⋮ Euclidean operator radius inequalities of a pair of bounded linear operators and their applications

Cites Work

• New upper bounds for the numerical radius of Hilbert space operators
• Refinements of norm and numerical radius inequalities
• Bounds for zeros of a polynomial using numerical radius of Hilbert space operators
• A generalization of the numerical radius
• Inner derivations and norm equality
• Computer generated numerical ranges and some resulting theorems
• On upper and lower bounds of the numerical radius and an equality condition
• Unitarily Invariant Operator Norms
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for Hilbert space operators
• Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices
• Bounds of numerical radius of bounded linear operators using t-Aluthge transform
• Numerical Radius Inequalities for Several Operators

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