First and second order perturbation bounds for the operator absolute value

DOI10.1016/0024-3795(94)90449-9zbMath0815.47006OpenAlexW1992626800MaRDI QIDQ1336418

Rajendra Bhatia

Publication date: 24 October 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90449-9

zbMATH Keywords

first and second order perturbation boundsfirst and the second derivatives of the map that takes an invertible Hilbert space operator to its absolute valueoperator absolute value

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Derivatives of functions in infinite-dimensional spaces (46G05)

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