Abstract
This paper is dedicated to M.G. Krein whose work and personality were of great influence to each of us Spectral points of positive and of negative type of a self-adjoint analytic operator function A are introduced and their behavior under bounded and compact perturbations is studied. An essential tool is a linearization of the function A, which is a self-adjoint operator in some Krein space.
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This author acknowledges support of the Fonds zur Förderung der wissenschaftlichen Forschung of Austria, Project P 12176 MAT.
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Langer, H., Markus, A., Matsaev, V. (2000). Linearization and Compact Perturbation of Self-adjoint Analytic Operator Functions. In: Adamyan, V.M., et al. Operator Theory and Related Topics. Operator Theory: Advances and Applications, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8413-6_14
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DOI: https://doi.org/10.1007/978-3-0348-8413-6_14
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