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Contemporary Mathematics. Fundamental Directions, 2021, Volume 67, Issue 2, Pages 237–254
DOI: https://doi.org/10.22363/2413-3639-2021-67-2-237-254 (Mi cmfd416) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Deficiency indices of block Jacobi matrices: survey

V. Budykaab, M. Malamuda, K. Mirzoevcd

a Peoples Friendship University of Russia (RUDN University), Moscow, Russia
b Donetsk Academy of Management and Public Administration, Donetsk
c Peoples' Friendship University of Russia (RUDN University), Moscow, Russia
d Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2021-67-2-237-254
Abstract: The paper is a survey and concerns with infinite symmetric block Jacobi matrices $\mathbf{J}$ with $m\times m$-matrix entries. We discuss several results on general block Jacobi matrices to be either self-adjoint or have maximal as well as intermediate deficiency indices. We also discuss several conditions for $\mathbf{J}$ to have discrete spectrum.
Funding agency Grant number
Russian Science Foundation 20-11-20261
Ministry of Science and Higher Education of the Russian Federation 075-03-2020-223/3 (FSSF-2020-0018)
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. Budyka, M. Malamud, K. Mirzoev, “Deficiency indices of block Jacobi matrices: survey”, Dedicated to the memory of Professor N. D. Kopachevsky, CMFD, 67, no. 2, PFUR, M., 2021, 237–254
Citation in format AMSBIB
\Bibitem{BudMalMir21}
\by V.~Budyka, M.~Malamud, K.~Mirzoev
\paper Deficiency indices of block Jacobi matrices: survey
\inbook Dedicated to the memory of Professor N. D. Kopachevsky
\serial CMFD
\yr 2021
\vol 67
\issue 2
\pages 237--254
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd416}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-2-237-254}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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