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Titlebook: Operator Theory in Inner Product Spaces; Karl-Heinz Förster,Peter Jonas,Carsten Trunk Conference proceedings 2007 Birkhäuser Basel 2007 Ne

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Conference proceedings 2007 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.
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Generalized Resolvents of a Class of Symmetric Operators in Krein Spaces,same spectral properties as a definitizable operator. We show that the Krein-Naimark formula establishes a bijective correspondence between the compressed resolvents of locally definitizable self-adjoint extensions . of . acting in Krein spaces . and a special subclass of meromorphic functions.
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Block Operator Matrices, Optical Potentials, Trace Class Perturbations and Scattering, class perturbations the channel scattering matrices are calculated. Using Feshbach’s optical potential it is shown that for a given spectral parameter the channel scattering matrices can be recovered either from a dissipative or from a Lax-Phillips scattering theory.
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Canonical Differential Equations of Hilbert-Schmidt Type, property that the selfadjoint operators associated to a canonical system have resolvents of Hilbert-Schmidt type in terms of the Hamiltonian . as well as in terms of the associated Titchmarsh-Weyl coefficient.
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Some Basic Properties of Polynomials in a Linear Relation in Linear Spaces,The behavior of the domain, the range, the kernel and the multivalued part of a polynomial in a linear relation is analyzed, respectively.
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