Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 237-254
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V. Budyka; M. Malamud; K. Mirzoev. Deficiency indices of block Jacobi matrices: survey. Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 237-254. http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a2/
@article{CMFD_2021_67_2_a2,
author = {V. Budyka and M. Malamud and K. Mirzoev},
title = {Deficiency indices of block {Jacobi} matrices: survey},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {237--254},
year = {2021},
volume = {67},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a2/}
}
TY - JOUR
AU - V. Budyka
AU - M. Malamud
AU - K. Mirzoev
TI - Deficiency indices of block Jacobi matrices: survey
JO - Contemporary Mathematics. Fundamental Directions
PY - 2021
SP - 237
EP - 254
VL - 67
IS - 2
UR - http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a2/
LA - ru
ID - CMFD_2021_67_2_a2
ER -
%0 Journal Article
%A V. Budyka
%A M. Malamud
%A K. Mirzoev
%T Deficiency indices of block Jacobi matrices: survey
%J Contemporary Mathematics. Fundamental Directions
%D 2021
%P 237-254
%V 67
%N 2
%U http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a2/
%G ru
%F CMFD_2021_67_2_a2
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.
