Hardt, V. and Mennicken, R. and Motovilov, A. K. (2002) A factorization theorem for the transfer function associated with a 2 x 2 operator matrix having unbounded couplings. JOURNAL OF OPERATOR THEORY, 48 (1). pp. 187-226. ISSN 0379-4024
Full text not available from this repository.Abstract
We construct operators which factorize the transfer function associated with a self-adjoint 2 x 2 operator matrix whose diagonal entries may have overlapping spectra and whose off-diagonal entries axe unbounded operators. We prove completeness and basis properties of the eigenvectors of the transfer function corresponding to the real point spectrum of the 2 x 2 operator matrix. We also discuss some properties of the root vectors of the analytically continued transfer function.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | INVARIANT SUBSPACES; ESSENTIAL SPECTRUM; RESOLVENT; ENERGY; operator matrix; operator pencil; Herglotz function; resonance |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Oct 2021 13:52 |
| Last Modified: | 25 Oct 2021 13:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40208 |
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