On a Perturbation Determinant for Accumulative Operators
For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas.
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| Veröffentlicht in: | Integral equations and operator theory 2015-03, Vol.81 (3), p.301-317 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas. |
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| ISSN: | 0378-620X 1420-8989 |
| DOI: | 10.1007/s00020-014-2212-3 |