Perturbation of operators and approximation of spectrum

DOI10.1007/s12044-014-0169-4zbMath1417.47003arXiv1207.6473OpenAlexW2134403320MaRDI QIDQ2253681

Yanyan Li

Publication date: 12 February 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6473

zbMATH Keywords

perturbationessential spectrumspectral gapoperatorToeplitz operators and matrices

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (4)

A note on the asymptotic and threshold behaviour of discrete eigenvalues inside the spectral gaps of the difference operator with a periodic potential ⋮ Spectral Approximation of Bounded Self-Adjoint Operators—A Short Survey ⋮ Approximations of strongly continuous families of unbounded self-adjoint operators ⋮ A note on discrete Borg-type theorems

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• Spectral Enclosures and Complex Resonances for General Self-Adjoint Operators
• Spectral pollution and second-order relative spectra for self-adjoint operators
• Approximation of approximation numbers by truncation

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