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Information × Registration Number 0214U000188, 0111U000039 , R & D reports Title The Schur transformation for operator-valued analytical functions a its application to linear systems and the moment problem popup.stage_title Head Arlinskii Yury Moiseevich, Registration Date 23-01-2014 Organization EAST-UKRAINIAN VOLODIMIR DAL NATIONAL UNIVERSITY popup.description2 By means ofSchur parameters and tridiagonal Jacobi and CMV matrices, new methods of solving of truncated operator Hamburger moment problem and the Schur problem is suggested. The convergence in the operator-norm topology the Iosida and Dunford - Segal approximation of holomorphic contraction of one-parameter semigroups in the Hilbert space is proved. The properties of non-negative symmetric operators in divergence form is studied and for a wide classes of symmetric operators a representation in the divergence form is established. A description of all m- accretive extensions and their resolvents for an arbitrary densely defined sectorial operator is obtained. All non-negative selfadjoint extensions and and m- accretive extensions on rigged Hilbert spaces are parametrized. Q-functions of nonnegative operators are investigated. Product Description popup.authors Арлінський Юрій Мойсійович popup.nrat_date 2020-04-02 Close