| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2003-12-31T22:00:00Z |
|
| dc.date.accessioned |
2020-10-06T10:24:10Z |
|
| dc.date.available |
2020-10-06T10:24:10Z |
|
| dc.identifier |
5b9ac9af-9de4-49c5-a1e6-f2c5b9a3aa4b |
|
| dc.identifier |
10.1080/1023619031000110912 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/5b9ac9af-9de4-49c5-a1e6-f2c5b9a3aa4b/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/61063 |
|
| dc.description |
A space of boundary values is constructed for minimal symmetric second-order difference operator in the Hilbert space I w 2 (Z) (Z:{0,+/-1,+/-2,...}) with defect index (2,2) (in Weyl's limit-circle cases at +/-infinity). A description of all maximal dissipative (accretive), selfadjoint and other extensions of such a symmetric operator is given in terms of boundary conditions at +/-infinity. We investigate maximal dissipative operators with, generally speaking, nonseparated boundary conditions. In particular, if we consider separated boundary conditions, that at -infinity and infinity nonselfadjoint (dissipative) boundary conditions are prescribed simultaneously. We construct a selfadjoint dilation of maximal dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of dilation. We also construct a functional model of maximal dissipative operator and determine its characteristic function. We prove a theorem on completeness of the system of eigenvectors and associated vectors of the maximal dissipative operator. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Dissipative second-order difference operators with general boundary conditions |
|
| dc.type |
info:eu-repo/semantics/article |
|