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Spectral inclusion and pollution for a class of dissipative perturbations

Stepanenko, Alexei 2021. Spectral inclusion and pollution for a class of dissipative perturbations. Journal of Mathematical Physics 62 (1) , 013501. 10.1063/5.0028440

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Official URL: http://dx.doi.org/137321

Abstract

Spectral inclusion and spectral pollution results are proved for sequences of linear operators of the form T0 + iγsn on a Hilbert space, where sn is strongly convergent to the identity operator and γ > 0. We work in both an abstract setting and a more concrete Sturm–Liouville framework. The results provide rigorous justification for a method of computing eigenvalues in spectral gaps.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: American Institute of Physics
ISSN: 0022-2488
Date of First Compliant Deposit: 5 January 2021
Date of Acceptance: 1 December 2020
Last Modified: 18 Jan 2021 20:33
URI: http://orca.cf.ac.uk/id/eprint/137321

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