Extensions of symmetric infinite Jacobi operator
LINEAR & MULTILINEAR ALGEBRA, cilt.62, sa.9, ss.1146-1152, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 62 Sayı: 9
- Basım Tarihi: 2014
- Doi Numarası: 10.1080/03081087.2013.811501
- Dergi Adı: LINEAR & MULTILINEAR ALGEBRA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1146-1152
- Süleyman Demirel Üniversitesi Adresli: Evet
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.