QUAESTIONES MATHEMATICAE, vol.41, no.2, pp.239-255, 2018 (Journal Indexed in SCI)
Article / Article
Title of Journal :
Maximal dissipative operators, dissipative q-Dirac operator, self adjoint dilation, characteristic function, Blaschke-Potapov product, singular factor, completeness of the system of eigenfunctions, DILATION
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.