Generalized numerical radius and related inequalities

DOI10.7153/oam-2021-15-81zbMath1506.47008arXiv1909.09243OpenAlexW3214781492MaRDI QIDQ5865486

Cristian Conde, Tamara Bottazzi

Publication date: 9 June 2022

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

Full work available at URL: https://arxiv.org/abs/1909.09243

zbMATH Keywords

inequalitiesorthogonalitynumerical radiusSchatten \(p\)-normnorm-parallelism

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Numerical range, numerical radius (47A12) Linear accretive operators, dissipative operators, etc. (47B44) Congruence and orthogonality in metric geometry (51F20)

Related Items (11)

Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices ⋮ Generalized numerical radius of a bounded linear operator ⋮ An extension of the \(a\)-numerical radius on \(C^\ast\)-algebras ⋮ Generalized \(A\)-numerical radius of operators and related inequalities ⋮ Refinements of the generalized numerical radius of Heinz-type inequalities ⋮ Upper and lower bounds for the \(p\)-numerical radii of operators ⋮ The weighted Hilbert-Schmidt numerical radius ⋮ Some estimates for the generalized numerical radius ⋮ Generalized numerical radius inequalities involving positive semidefinite block matrices ⋮ Norm inequalities involving the weighted numerical radii of operators ⋮ On the p-numerical radii of Hilbert space operators

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