Dissipative q-Dirac operator with general boundary conditions


Allahverdiev B. , Tuna H.

QUAESTIONES MATHEMATICAE, cilt.41, sa.2, ss.239-255, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2989/16073606.2017.1377309
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Sayfa Sayıları: ss.239-255

Özet

In this paper, we consider the symmetric q-Dirac operator. We describe dissipative, accumulative, self-adjoint and the other extensions of such operators with general boundary conditions. We construct a self-adjoint dilation of dissipative operator. Hence, we determine the scattering matrix of dilation. Later, 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.