Geodesic
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

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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. 
@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},
     publisher = {mathdoc},
     volume = {67},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a2/}
}
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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/