Deficiency numbers of operators generated by infinite Jacobi matrices
I. N. Braeutigam, Karakhan Agahan ogly Mirzoev · Doklady Mathematics · 2016
New conditions for minimality, maximality, and nonmaximality of deficiency numbers of the minimal operator generated by the infinite Jacobi matrix with m × m matrix entries in the Hilbert space of mdimensional vectors are presented. Special attention is given to the case m = 1, i.e., to conditions on the elements of a tridiagonal numerical Jacobi matrix under which the determinate case of the classical power moment problem is realized.