Deficiency Indices of Block Jacobi Matrices: Survey

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Abstract

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.

About the authors

Viktoriya S. Budyka

Peoples Friendship University of Russia (RUDN University); Donetsk Academy of Management and Public Administration

Author for correspondence.
Email: budyka.vik@gmail.com
Moscow, Russia; Donetsk

Mark M. Malamud

Peoples Friendship University of Russia (RUDN University)

Email: malamud3m@gmail.com
Moscow, Russia

Karahan A. Mirzoev

Lomonosov Moscow State University; Moscow Center for Fundamental and Applied Mathematics

Email: mirzoev.karahan@mail.ru
Moscow, Russia

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