On Some Equivalent Metrics for Bounded Operators on Hilbert Space

DOI10.2307/2047922zbMath0721.47013OpenAlexW4250084115MaRDI QIDQ5753060

Fuad Kittaneh

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047922

zbMATH Keywords

operator monotone functiongap metricequivalent metricsKaufman's metricmeasuring the distance between closed Hilbert space oprators

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) Structure theory of linear operators (47A65)

Related Items (4)

Some equivalent metrics for bounded normal operators ⋮ Equivalent metrics on normal composition operators ⋮ The Horn-Li-Merino formula for the gap and the spherical gap of unbounded operators ⋮ Unnamed Item

Cites Work

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• Inequalities for the Schatten p-Norm. IV
• Inequalities for the Schatten p-norm. V
• On some perturbation inequalities for operators
• On the continuity of the absolute value map in the Schatten classes
• Norm inequalities for partitioned operators and an application
• Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
• On Lipschitz Functions of Normal Operators
• A Stronger Metric for Closed Operators in Hilbert Space
• Closed Operators and Pure Contractions in Hilbert Space
• Inequalities for the Schatten p-norm II
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
• More on Convergence in Unitary Matrix Spaces
• Representing a Closed Operator as a Quotient of Continuous Operators

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