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Deficiency Indices of Block Jacobi Matrices: Survey

  • V. Budyka,
  • M. Malamud,
  • K. Mirzoev

摘要

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.