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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 4, Pages 45–53
(Mi ufa167)
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This article is cited in 3 scientific papers (total in 3 papers)
On a spectral property of irregular pencils
N. F. Valeev Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Abstract:
The present paper introduces the notion of a quasi-regular eigenvalue and a quasi-regular pencil spectrum of finite dimensional operator pencils. It is demonstrated that quasi-regular eigenvalues of irregular pencils are continuous with respect to perturbations of the pencil. Properties of quasi-regular eigenvalues are studied and formulae for calculating a quasi-regular spectrum are obtained.
Keywords:
spectral theory of linear operators, irregular pencils, inverse spectral problems, regular spectrum of the operator pencil.
Received: 05.05.2012
Citation:
N. F. Valeev, “On a spectral property of irregular pencils”, Ufimsk. Mat. Zh., 4:4 (2012), 45–53
Linking options:
https://www.mathnet.ru/eng/ufa167 https://www.mathnet.ru/eng/ufa/v4/i4/p45
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Abstract page: | 447 | Full-text PDF : | 125 | References: | 68 | First page: | 2 |
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