Methods of abstract harmonic analysis in the perturbation of linear operators

DOI10.1007/BF00968792zbMath0574.47014MaRDI QIDQ1063843

Anatoly G. Baskakov

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

group algebrasasymptotics of eigenvaluesabstract harmonic analysisconvergence of spectral expansions of perturbed operatorssimilarity of a certain class of non-self-adjoint operatorsspectrality of perturbed spectral operators with discrete spectrumunperturbed operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of commutative topological algebras (46J25)

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Spectral analysis of an even order differential operator with square integrable potential ⋮ The damped string problem revisited ⋮ Spectral properties of first-order differential operators with an involution and groups of operators ⋮ Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients

Cites Work

• Harmonic analysis based on certain commutative Banach algebras
• Three spectral notions for representations of commutative Banach algebras
• On Norm-Continuity and Compactness of Spectrum.
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