| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2003-05-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T10:51:37Z |
|
| dc.date.available |
2020-10-06T10:51:37Z |
|
| dc.identifier |
a791019b-122f-4b67-ab79-592b34cdcfb9 |
|
| dc.identifier |
10.1093/imamat/68.3.251 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/a791019b-122f-4b67-ab79-592b34cdcfb9/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/68559 |
|
| dc.description |
A space of boundary values is constructed for symmetric discrete Dirac operators in l(A)(2)(Z; C-2) (Z : {0, +/-1, +/-2, ...}) with defect index (1, 1) (in Weyl's limit-circle case at +/-infinity and limit-point case at +/-infinity). A description of all maximal dissipative (accretive), self-adjoint and other extensions of such a symmetric operator is given in terms of boundary conditions at +/-infinity. We investigate two classes of maximal dissipative operators with boundary conditions, called 'dissipative at -infinity' and 'dissipative at infinity'. In each of these cases we construct a self-adjoint dilation of dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of the dilation. We also construct a functional model of the dissipative operator and define its characteristic function in terms of the Titchmarsh-Weyl function of the self-adjoint operator. We prove the theorem on completeness of the system of eigenvectors and associated vectors of the dissipative operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Extensions, dilations and functional models of discrete Dirac operators in limit point-circle cases |
|
| dc.type |
info:eu-repo/semantics/article |
|