Langer, Heinz and Langer, Matthias and Markus, Alexander and Tretter, Christiane (2005) Spectrum of definite type of self-adjoint operators in Krein spaces. Linear and Multilinear Algebra, 53 (2). pp. 115-136. ISSN 0308-1087
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1080/03081080500055049
Abstract
For a self-adjoint operator in a Krein space we construct an interval [ν, μ] outside of which the operator has only a spectrum of definite type and possesses a local spectral function. As a consequence, a spectral subspace corresponding to an interval outside [ν, μ] admits an angular operator representation. We describe a defect subspace of the domain of the angular operator in terms of the Schur complement, and we derive variational principles for the discrete eigenvalues in such intervals of definite type.
| Item type: | Article |
|---|---|
| ID code: | 2236 |
| Keywords: | Krein space, spectrum of definite type, local spectral function, quadratic numerical range, variational principle for eigenvalues, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 01 Dec 2006 |
| Last modified: | 03 Oct 2012 13:24 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2236 |
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