Research Information System
LINEAR & MULTILINEAR ALGEBRA, vol.62, no.9, pp.1146-1152, 2014 (SCI-Expanded)
A space of positive boundary values is constructed for a positive definite minimal symmetric operator generated by an infinite Jacobi matrix in limit-circle case. A description of all solvable, maximal dissipative (accumulative) solvable, self-adjoint solvable, positive definite self-adjoint and non-positive definite self-adjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity.