Dissipative Dirac Operator with General Boundary Conditions on Time Scales

Allahverdiev B. , Tuna H.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.72, sa.5, ss.671-689, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Konu: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11253-020-01808-8
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.671-689

Özet

We consider symmetric Dirac operators on bounded time scales. Under general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint, etc.) of these symmetric operators. We construct a self-adjoint dilation of the dissipative operator. Hence, we determine the scattering matrix of dilation. Then we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of this operator are complete.