| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2003-08-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T09:50:01Z |
|
| dc.date.available |
2020-10-06T09:50:01Z |
|
| dc.identifier |
4bff4de1-d56a-4ea8-a1b3-032096184ca6 |
|
| dc.identifier |
10.1215/ijm/1258138196 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/4bff4de1-d56a-4ea8-a1b3-032096184ca6/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/59488 |
|
| dc.description |
A space of boundary values is constructed for minimal symmetric discrete Dirac operators in the limit-circle case. A description of all maximal dissipative, maximal accretive and self-adjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity. We construct a self-adjoint dilation of a maximal dissipative operator and its incoming and outgoing spectral representations, which make it possible to determine the scattering matrix of the dilation. We also construct a functional model of the dissipative operator and its characteristic function. Finally, we prove the completeness of the system of eigenvectors and associated vectors of dissipative operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Extensions, dilations and functional models of discrete Dirac operators |
|
| dc.type |
info:eu-repo/semantics/article |
|