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...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.278 (1), p.39-54
Main Authors: Budyka, V., Malamud, M., Mirzoev, K.
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-06904-9