Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 225, Pages 14–27
DOI: https://doi.org/10.36535/0233-6723-2023-225-14-27 (Mi into1184) 		 
Application of the method of similar operators to some classes of difference operators

A. G. Baskakova, G. V. Garkavenkob, N. B. Uskovac

a Voronezh State University
b Voronezh State Pedagogical University
c Voronezh State Technical University
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DOI: https://doi.org/10.36535/0233-6723-2023-225-14-27
Abstract: Two second-order difference operators defined by their infinite matrices are considered: an operator with an ordinary potential and an operator with an involutive potential. The spectral properties of these operators under various conditions were performed by the method of similar operators. Results concerning the asymptotics of the eigenvalues in the case of a potential with involution are obtained.
Keywords: method of similar operators, eigenvalue, spectral projector, bi-invariant subspace.
Document Type: Article
UDC: 517.9
MSC: 47A75, 47B25, 47B36
Language: Russian
Citation: A. G. Baskakov, G. V. Garkavenko, N. B. Uskova, “Application of the method of similar operators to some classes of difference operators”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 14–27
Citation in format AMSBIB
\Bibitem{BasGarUsk23}
\by A.~G.~Baskakov, G.~V.~Garkavenko, N.~B.~Uskova
\paper Application of the method of similar operators to some classes of difference operators
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 225
\pages 14--27
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1184}
\crossref{https://doi.org/10.36535/0233-6723-2023-225-14-27}
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