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Titlebook: Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems; Karl-Heinz Förster,Peter Jonas,Heinz Langer Conference proceedings 2006

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书目名称Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
编辑Karl-Heinz Förster,Peter Jonas,Heinz Langer
视频video
概述Selected and peer-reviewed contributions originating from a workshop at the TU Berlin in December 2003.Includes supplementary material:
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems;  Karl-Heinz Förster,Peter Jonas,Heinz Langer Conference proceedings 2006
描述..This volume contains 16 original research papers written by participants of the 3rd Workshop on Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems, which was held at the Technische Universität Berlin, Germany, December 12–14, 2003. They deal with spectral and perturbation theory of linear operators in indefinite inner product spaces and their applications. The topics include extension theory of symmetric operators, normal operators, realization theory and models of generalized Nevanlinna functions, interpolation problems, reproducing kernel spaces, matrix and operator pencils, locally definitizable functions, and semigroups..
出版日期Conference proceedings 2006
关键词Functional analysis; Krein space; Operator theory; Reproducing kernel spaces; Spectral theory
版次1
doihttps://doi.org/10.1007/3-7643-7453-5
isbn_ebook978-3-7643-7453-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkhäuser Basel 2006
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https://doi.org/10.1007/3-7643-7453-5Functional analysis; Krein space; Operator theory; Reproducing kernel spaces; Spectral theory
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A Variational Principle for Linear Pencils of Forms,Eigenvalues are characterized by a double extremum principle for pencils . under rather weak assumptions on the symmetric sesquilinear forms . and .. For example, they can be indefinite and/or degenerate. The treatment unifies many cases previously studied separately, and also gives new eigenvalues previously uncharacterized.
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The Spectrum of the Multiplication Operator Associated with a Family of Operators in a Banach SpaceAn operator family of densely defined closed linear operators and the multiplication operator associated with it are considered. The spectrum of this multiplication operator is expressed in terms of the spectra of the operators in the given family.
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A Factorization Model for the Generalized Friedrichs Extension in a Pontryagin Space,An operator model for the generalized Friedrichs extension in the Pontryagin space setting is presented. The model is based on a factorization of the associated Weyl function (or .-function) and it carries the information on the asymptotic behavior of the Weyl function at . = ∞.
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