| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2005-03-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T10:33:01Z |
|
| dc.date.available |
2020-10-06T10:33:01Z |
|
| dc.identifier |
7907a4b1-dce5-485d-b861-2e988f051e45 |
|
| dc.identifier |
10.1007/s00020-003-1241-0 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/7907a4b1-dce5-485d-b861-2e988f051e45/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/63970 |
|
| dc.description |
A space of boundary values is constructed for minimal symmetric Dirac operator in the Hilbert space L-A(2) ((-infinity, infinity); C-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 two classes of maximal dissipative operators with separated boundary conditions, called 'dissipative at -infinity' and 'dissipative at +infinity'. In each of these cases we construct a selfadjoint dilation and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix. We construct a functional model of the maximal dissipative operator and define its characteristic function. We prove theorems on completeness of the system of eigenvectors and associated vectors of the maximal dissipative operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Extensions, dilations and functional models of dirac operators |
|
| dc.type |
info:eu-repo/semantics/article |
|