Deficiency numbers of symmetric operators generated by block Jacobi matrices
Yu. M. Dyukarev · Sbornik Mathematics · 2006
Symmetric block Jacobi matrices and the corresponding symmetric operators are studied. Let be the size of the blocks in the matrix . As is known, the deficiency numbers and of the operator satisfy the inequalities and achieve their maximum value simultaneously. Let and be arbitrary integers such that . It is shown that there exists a symmetric Jacobi matrix such that and are the deficiency numbers of the corresponding symmetric operator .