On linear fractional transformations associated with generalized \(J\)-inner matrix functions

DOI10.1007/s00020-009-1709-7zbMath1185.47015arXiv0901.0193OpenAlexW3105644547MaRDI QIDQ733644

Harry Dym, Vladimir A. Derkach

Publication date: 19 October 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0193

zbMATH Keywords

linear fractional transformationcoprime factorizationresolvent matrixreproducing kernel spacegeneralized Schur classPotapov-Ginzburg transformassociated pairKreĭn-Langer factorization

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (13)

Applications of de Branges Spaces of Vector-Valued Functions ⋮ Generalized \(\gamma\)-generating matrices ⋮ Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents ⋮ A truncated indefinite Stieltjes moment problem ⋮ Hyponormal Toeplitz operators with matrix-valued circulant symbols ⋮ Bitangential interpolation in generalized Schur classes ⋮ Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮ A generalized tangent interpolation problem ⋮ Generalized γ-generating matrices and Nehari-Takagi problem ⋮ Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces ⋮ Generalized Schur-Nevanlinna functions and their realizations ⋮ A generalized Schur-Takagi interpolation problem ⋮ Factorization of generalized \(\gamma\)-generating matrices

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