Extensions of the symmetric operator generated by an infinite Jacobi matrix


Allahverdiev B.

MATHEMATICAL AND COMPUTER MODELLING, cilt.37, ss.1093-1098, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0895-7177(03)00121-3
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.1093-1098

Özet

A space of boundary values is constructed for minimal symmetric operator in l(C)(2) (N; E) C (N := {0, 1, 2....}, dim E = n < infinity), with maximal deficiency indices (n, n), generated by an infinite Jacobi matrix with matrix entries. A description of all maximal dissipative, maximal accretive, self-adjoint, and other extensions of such a symmetric operator is given in terms of boundary conditions at infinity. (C) 2003 Elsevier Science Ltd. All rights reserved.