Deficiency Indices of Block Jacobi Matrices: Survey

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.

Authors
Budyka V. 1, 2 , Malamud M. 1 , Mirzoev K.3, 4
Journal
Journal of Mathematical Sciences (United States)
Publisher
Springer New York LLC
Number of issue
1
Language
English
Pages
39-54
Status
Published
Volume
278
Year
2024
Organizations
  • 1 Peoples Friendship University of Russia (RUDN University)
  • 2 Donetsk Academy of Management and Public Administration
  • 3 Lomonosov Moscow State University
  • 4 Moscow Center for Fundamental and Applied Mathematics
Keywords
Jacobi matrix; infinite symmetric block matrix; deficiency index; discrete spectrum; mathematics; general
Date of creation
01.07.2024
Date of change
01.07.2024
Short link
https://repository.rudn.ru/en/records/article/record/111657/
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