| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2004-12-31T22:00:00Z |
|
| dc.date.accessioned |
2020-10-06T11:25:23Z |
|
| dc.date.available |
2020-10-06T11:25:23Z |
|
| dc.identifier |
d8893b41-f71d-417b-ad17-4f23365dd5dc |
|
| dc.identifier |
10.1007/s10587-005-0048-3 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/d8893b41-f71d-417b-ad17-4f23365dd5dc/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/73397 |
|
| dc.description |
A space of boundary values is constructed for the minimal symmetric operator generated by an infinite Jacobi matrix in the limit-circle case. A description of all maximal dissipative, accretive and selfadjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity. 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 construct a functional model of the dissipative operator and define its characteristic function. We prove a theorem on 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 infinite Jacobi matrix |
|
| dc.type |
info:eu-repo/semantics/article |
|