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Information × Registration Number 0211U002185, 0108U000152 , R & D reports Title Analytical functions in spectral thery of linear operators in Hilbert space popup.stage_title Head Arlinskii Yury Moiseevich, Registration Date 25-01-2011 Organization EAST-UKRAINIAN VOLODIMIR DAL NATIONAL UNIVERSITY popup.description2 Conservation systems realization of the Schur algorithm is obtained and CMV block-operator models of such systems are constructed by means of the Schur parameters. It is proved that an arbitrary completely nonunitary contraction is unitarily equivalent to truncated bloc-operator CMV matrix. For mimimal passive system equivalent forms of the Kalman Yakubovich-Popov inequalities and Riccati equations are obtained, and extremal solutions are constructed by means of iteration procedure. For the Weyl function of a quasi-selfadjoint bounded operator the Schur transformation, Schur parameters, and corresponding associated functions are defined. It is proved that bounded quasi-selfadjoint operator is unitary equivalent to nonselfadjoint block- operator Jacobi matrix. A new class of quasi-selfadjoint passive system is investigated and corresponding models are obtained. The Krein-Langer class of matrix-valued functionis is realized as impedance functions of systems with Pontryagin state spaces. A numeracal range of analytical contractive one-parameter semigroup of operators is localized. Product Description popup.authors Арлінський Юрій Мойсійович popup.nrat_date 2020-04-02 Close