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Titlebook: Recent Advances in Operator Theory in Hilbert and Krein Spaces; Jussi Behrndt,Karl-Heinz Förster,Carsten Trunk Conference proceedings 2010

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Approximation of ,,-functions II: Convergence of Models,per we investigate the convergence of the corresponding models as a singular .. -function is approximated by regular ..-functions. This involves the theory about approximating an operator by operators acting in different spaces. In the last section an example related to the Bessel differential operator is worked out.
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,The Königs Problem and Extreme Fixed Points,xtreme fixed point C and under some natural restrictions on one of the diagonal elements of the operator block-matrix ., we prove the KE-property of .. In this case, the structure of the other diagonal element is studied completely..We consider specific cases in which for . one can take any arbitrary point of the unit sphere.
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0255-0156 ume.Contains new results for problems close to the area of r.The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in
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Conditions for an Indefinite Sturm-Liouville Riesz Basis Property,.(−1, 1). Assuming that the odd part of . dominates the even part in a certain sense, we show that the above conditions (and also some new ones) are in fact all equivalent to this Riesz basis property.
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A Theorem on Existence of Invariant Subspaces for ,-binoncontractive Operators,ain aim of this paper is to show that the assumption . implies the existence of a .-invariant maximal nonnegative subspace. Let us note that (0.1) is a generalization of the well-known M.G. Krein condition .. The set of all operators satisfying (0.1) is described via Potapov-Ginsburg transform.
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Finite Rank Perturbations, Scattering Matrices and Inverse Problems,ressed in terms of a matrix Nevanlinna function. The problem is embedded into an extension theoretic framework and the theory of boundary triplets and associated Weyl functions for (in general nondensely defined) symmetric operators is applied. The representation results are extended to dissipative
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