Comparison of norms $|||f(A)-f(B)|||$ and $|||f(|A-B|)|||$

DOI10.1007/BF01418338zbMath0618.47007OpenAlexW2074152284MaRDI QIDQ1822318

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183741

zbMATH Keywords

perturbation operator monotone function operator norm functional calculus norm inequalities unitarily invariant norm positive semi-definite matrices Hilbert-Schmidt norm Trace norm

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) Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55)

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Cites Work

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Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)