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Titlebook: Operator Theory and Related Topics; Proceedings of the M V. M. Adamyan,I. Gohberg,G. Popov Conference proceedings 2000 Springer Basel AG 20

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Extreme Points of a Positive Operator Ball,ex hull coincides with the set itself. It is, however, usually difficult to determine and parametrize all extreme points. In this paper we will determine extreme points of a positive operator ball . ≥ 0; .. ≤ .. with . ≥ 0 in the space of bounded selfadjoint operators on a Hilbert space.
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,Few-body Krein’s Formula,eral quantum particles with generalized point interactions are investigated in detail and a few-body analog of Krein’s formula for generalized resolvents is proven. New conditions for semiboundedness of .-body quantum Hamiltonian with generalized point interactions in the three-dimensional space are derived.
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Linearization and Compact Perturbation of Self-adjoint Analytic Operator Functions,e of a self-adjoint analytic operator function . are introduced and their behavior under bounded and compact perturbations is studied. An essential tool is a linearization of the function ., which is a self-adjoint operator in some Krein space.
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Generalized Resolvents of Isometric Linear Relations in Pontryagin Spaces, I: Foundations,a Pontryagin space and to its application to the Nehari-Takagi problem. This paper contains some useful results about isometric and unitary relations in Pontryagin spaces. We define open and closed linear conservative scattering dynamical systems with a Pontryagin state space and describe the embedding of an open system into a closed system.
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Operator Theory and Related Topics978-3-0348-8413-6Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Solution of the Truncated Matrix Hamburger Moment Problem According to M.G. Krein,scalar Nevanlinna formula describing all possible solutions is established. As a main tool methods of the theory of extensions of symmetric operators and, in particular, the M.G. Krein formula for generalized resolvents are used.
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Extreme Points of a Positive Operator Ball,ex hull coincides with the set itself. It is, however, usually difficult to determine and parametrize all extreme points. In this paper we will determine extreme points of a positive operator ball . ≥ 0; .. ≤ .. with . ≥ 0 in the space of bounded selfadjoint operators on a Hilbert space.
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