Perturbations of discrete spectra of holomorphic operator-valued functions

DOI10.1007/s41478-019-00212-1zbMath1487.47023OpenAlexW2991068897MaRDI QIDQ2047311

Jibrail Ali, Rafikul Alam

Publication date: 19 August 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-019-00212-1

zbMATH Keywords

linearizationspectrumdiscrete eigenvaluesBanach spaceFredholm operatordiscrete spectrumoperator-valued functionRouche theorem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Semi-) Fredholm operators; index theories (47A53)

Uses Software

• NLEVP

Cites Work

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• An integral method for solving nonlinear eigenvalue problems
• Classes of linear operators. Vol. I
• Equivalence, linearization, and decomposition of holomorphic operator functions
• On spectral approximation of linear operators
• Perturbation theory for linear operators.
• Nonlinear eigenvalue and frequency response problems in industrial practice
• NLEVP
• Spectral Approximation for Compact Operators
• Accelerated spectral approximation
• The nonlinear eigenvalue problem
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
• On Spectral Properties of Perturbed Operators
• Stability and Stabilization of Time-Delay Systems
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ

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