Some inequalities related to numerical radius and distance from scalar operators in Hilbert spaces

DOI10.7153/oam-2023-17-57OpenAlexW4387716541MaRDI QIDQ6122904

Messaoud Guesba, El Hassan Benabdi, Mohamed Chraibi Kaadoud

Publication date: 4 March 2024

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2023-17-57

zbMATH Keywords

positive operatornumerical radiusnormaloid

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• A property of bounded normal operators in Hilbert space
• The norm of a derivation
• Inner derivations and norm equality
• Notes on some spectral radius and numerical radius inequalities
• An Inequality Concerning the Smallest Disc that Contains the Spectrum of an Operator
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for Hilbert space operators
• Géométrie du spectre dans une algèbre de Banach et domaine numérique
• Domaine numérique du produit et de la bimultiplication 𝑀_{2,𝐴,𝐵}
• Some numerical radius inequalities for products of Hilbert space operators
• Numerical radius inequalities for products of Hilbert space operators

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