Norm inequalities for commutators of \(G_1\) operators

DOI10.1007/s11785-015-0485-4zbMath1354.47012OpenAlexW1940183240MaRDI QIDQ5963716

Fuad Kittaneh

Publication date: 23 February 2016

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0485-4

zbMATH Keywords

perturbationanalytic functioninequalitycommutatorunitarily invariant norm\(G_1\) operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) 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) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (5)

Unnamed Item ⋮ Unitarily invariant norm inequalities for elementary operators involving \(G_{1}\) operators ⋮ A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators ⋮ Noncommutative Pick-Julia theorems for generalized derivations in \(\mathrm{Q}, \mathrm{Q}^\ast\) and Schatten-von Neumann ideals of compact operators ⋮ Numerical radius inequalities involving commutators of \(G_{1}\) operators

Cites Work

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• Inequalities for the Schatten p-norm. V
• Operators satisfying a \(G_1\) condition
• Some Inequalities for Norms of Commutators
• On Lipschitz Functions of Normal Operators
• Norm Estimates for Commutators of Operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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