Estimates for norms of matrix-valued and operator-valued functions and some of their applications

DOI10.1007/BF00992083zbMath0805.47009OpenAlexW1979354897MaRDI QIDQ1308951

Michael I. Gil'

Publication date: 20 December 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00992083

zbMATH Keywords

Lyapunov functionsCarleman's estimates for resolvents of matrices and compact operatorsestimates for a norm of matrix-valued and operator-valued functionsGel'fand-Shilov estimate for regular functions of matricesnorms of nonlinear differential equationsquasi-Hermitian operatorsspectrum perturbations of self-adjoint operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear ordinary differential equations and systems (34A30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Matrices over function rings in one or more variables (15A54)

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