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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 4, Pages 45–53 (Mi ufa167)  

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
Full-text PDF (499 kB) Citations (3)
References:
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
Document Type: Article
UDC: 517.4+519.71
Language: Russian
Citation: N. F. Valeev, “On a spectral property of irregular pencils”, Ufimsk. Mat. Zh., 4:4 (2012), 45–53
Citation in format AMSBIB
\Bibitem{Val12}
\by N.~F.~Valeev
\paper On a~spectral property of irregular pencils
\jour Ufimsk. Mat. Zh.
\yr 2012
\vol 4
\issue 4
\pages 45--53
\mathnet{http://mi.mathnet.ru/ufa167}
Linking options:
  • https://www.mathnet.ru/eng/ufa167
  • https://www.mathnet.ru/eng/ufa/v4/i4/p45
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
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    Abstract page:447
    Full-text PDF :125
    References:68
    First page:2
     
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