Extensions of symmetric infinite Jacobi operator

作者：Allahverdiev Bilender P^*

来源：Linear and Multilinear Algebra, 2014, 62(9): 1146-1152.

DOI：10.1080/03081087.2013.811501

• infinite Jacobi matrix
• symmetric operator
• space of positive boundary values
• solvable extensions
• positive definite self-adjoint and non-self-adjoint extensions
• maximal dissipative operator

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.

• 出版日期2014