Methods of Kreĭn Space Operator Theory

DOI10.1007/978-3-0348-8215-6_4zbMath1062.47002OpenAlexW186608390MaRDI QIDQ4429625

James Rovnyak

Publication date: 26 September 2003

Published in: Interpolation Theory, Systems Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-8215-6_4

zbMATH Keywords

composition operatorfactorization theoremcoefficient interpolation problemreproducing kernel Kreĭn space

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators on spaces with an indefinite metric (47B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (8)

Spectrum of J-frame operators ⋮ Indefinite least squares with a quadratic constraint ⋮ Linear pencils and quadratic programming problems with a quadratic constraint ⋮ Indefinite Kernel Discriminant Analysis ⋮ Abstract splines in Krein spaces ⋮ Krein reproducing kernel modules in Clifford analysis ⋮ Indefinite abstract splines with a quadratic constraint ⋮ Regularization of an indefinite abstract interpolation problem with a quadratic constraint

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