Abstract:
The paper is a survey and concerns with infinite symmetric block Jacobi matrices J with m×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 J to have discrete spectrum.
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
\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}
Linking options:
https://www.mathnet.ru/eng/cmfd416
https://www.mathnet.ru/eng/cmfd/v67/i2/p237
This publication is cited in the following 1 articles:
V. S. Budyka, M. M. Malamud, I. L. Pokrovski, “Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions”, Math. Notes, 114:5 (2023), 1060–1066
Citation in format AMSBIB
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