Extensions of symmetric infinite Jacobi operator


Allahverdiev B.

LINEAR & MULTILINEAR ALGEBRA, cilt.62, sa.9, ss.1146-1152, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Konu: 9
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/03081087.2013.811501
  • Dergi Adı: LINEAR & MULTILINEAR ALGEBRA
  • Sayfa Sayıları: ss.1146-1152

Özet

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.