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This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, which was held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation and extension theory of linear operators and relations in inner product spaces, including spectral analysis of differential operators, the theory of generalized Nevanlinna functions and related classes of functions, spectral theory of matrix polynomials, and problems from scattering theory. Contributors: T.Ya. Azizov, J. Behrndt, V. Derkach, A. Fleige, K.-H. Förster, S. Hassi, P. Jonas, M. Kaltenbäck, I. Karabash, A. Kostenko, H. Langer, A. Luger, C. Mehl, B. Nagy, H. Neidhart, V. Pivovarchik, J. Rehberg, L. Rodman, A. Sandovici, H. de Snoo, L.I. Soukhotcheva, C. Trunk, H. Winkler, H. Woracek.

Inner product spaces --- Linear operators --- Operator theory --- Linear maps --- Maps, Linear --- Operators, Linear --- Hermitian inner product spaces --- Scalar product spaces --- Spaces, Inner product --- Spaces, Scalar product --- Bilinear forms --- Vector spaces --- Hilbert space --- Operator theory. --- Functions of complex variables. --- Functional analysis. --- Operator Theory. --- Functions of a Complex Variable. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Complex variables --- Elliptic functions --- Functions of real variables --- Functional analysis

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Accounting --- Corporation law --- Subsidiary corporations --- Law and legislation

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Algebra --- Operator theory --- Functional analysis --- Mathematical physics --- algebra --- analyse (wiskunde) --- functies (wiskunde) --- wiskunde --- fysica

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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.

Algebra --- Operator theory --- Functional analysis --- Mathematical physics --- algebra --- analyse (wiskunde) --- functies (wiskunde) --- wiskunde --- fysica

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Operator theory --- Functional analysis --- analyse (wiskunde) --- functies (wiskunde)