Perturbations of functions of operators in a Banach space

DOI10.1007/s11040-009-9069-8zbMath1198.47024OpenAlexW2093319532MaRDI QIDQ967254

Michael I. Gil'

Publication date: 28 April 2010

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-009-9069-8

zbMATH Keywords

Green functionsperturbationsoperator valued functionsinfinite matricesoperators with Hilbert-Schmidt Hermitian componentsdifferential equations in Banach spaceHille-Tamarkin matrices

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

Discrete spectra of compactly perturbed bounded operators ⋮ Resolvents of functions of operators with Hilbert-Schmidt hermitian components ⋮ A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators ⋮ Triangular representations of functions of operators with Schatten–von Neumann Hermitian components

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