Spectrum of definite type of self-adjoint operators in Krein spaces
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 (https://doi.org/10.1080/03081080500055049)
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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.
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Item type: Article ID code: 2236 Dates: DateEvent2005PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Strathprints Administrator Date deposited: 01 Dec 2006 Last modified: 30 May 2024 02:04 URI: https://strathprints.strath.ac.uk/id/eprint/2236