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 229, Pages 12–21
DOI: https://doi.org/10.36535/0233-6723-2023-229-12-21 (Mi into1231) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On bounded difference operators with involution

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/10.36535/0233-6723-2023-229-12-21
Abstract: In this paper, we considers difference operators of a special type (with involution) whose infinite matrix has two nonzero diagonals. We introduce the notion of an abstract involution operator and examine its such as invertibility, spectrum, and commutability condition. Also, we discuss the problem of whether the original operator and its inverse belong to special operator classes.
Keywords: difference operator, involution, abstract involution, spectrum, invertibility, commutability
Document Type: Article
UDC: 517.9
MSC: 47A75, 47B25, 47B36
Language: Russian
Citation: A. G. Baskakov, G. V. Garkavenko, N. B. Uskova, “On bounded difference operators with involution”, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 229, VINITI, Moscow, 2023, 12–21
Citation in format AMSBIB
\Bibitem{BasGarUsk23}
\by A.~G.~Baskakov, G.~V.~Garkavenko, N.~B.~Uskova
\paper On bounded difference operators with involution
\inbook Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 229
\pages 12--21
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1231}
\crossref{https://doi.org/10.36535/0233-6723-2023-229-12-21}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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