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Keldysh Institute preprints, 2014, 014, 31 pages (Mi ipmp1866)  

On Theory of Normal Operators Weak Perturbations

E. A. Larionov, E. M. Zveriaev, T. S. Aleroev


Abstract: Work is devoted to the study of operators arising under perturbation of normal operators with the discrete spectrum and associated operator bundles. M. V. Keldysh was the first who investigated the spectral properties of these operators. He established the completeness of the root vectors system and the eigenvalues distribution. The system basis property and root vectors and eigenvalues localization for the operators are established.

Keywords: Keldysh operator, eigenvalues distribution, basis property.

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Citation: E. A. Larionov, E. M. Zveriaev, T. S. Aleroev, “On Theory of Normal Operators Weak Perturbations”, Keldysh Institute preprints, 2014, 014, 31 pp.

Citation in format AMSBIB
\Bibitem{LarZveAle14}
\by E.~A.~Larionov, E.~M.~Zveriaev, T.~S.~Aleroev
\paper On Theory of Normal Operators Weak Perturbations
\jour Keldysh Institute preprints
\yr 2014
\papernumber 014
\totalpages 31
\mathnet{http://mi.mathnet.ru/ipmp1866}


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  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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