On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm

DOI10.1007/BF01191883zbMath0761.46014OpenAlexW2066364939MaRDI QIDQ1205558

Daniel Alpay

Publication date: 1 April 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191883

zbMATH Keywords

reproducing kernel Krein spacesdifference of positive functionslinear combinations of positive functionsnon hermitian Schur algorithmreproducing kernel Hilbert spaces of pairssurjective correspondence

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (6)

Von Neumann indices and classes of positive definite functions ⋮ Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting ⋮ Positive and generalized positive real lemma for slice hyperholomorphic functions ⋮ Finitely additive functions in measure theory and applications ⋮ Sous-dualités et noyaux (reproduisants) associés. (Subdualities and associated (reproducing) kernels) ⋮ Theory of subdualities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Immittance- versus scattering-domain fast algorithms for non-Hermitian Toeplitz and quasi-Toeplitz matrices
• Structured invariant spaces of vector valued functions, sesquilinear forms, and a generalization of the Iohvidov laws
• Some Krein spaces of analytic functions and an inverse scattering problem
• Krein spaces of analytic functions
• A construction of Krein spaces of analytic functions
• Some reproducing kernel spaces of continuous functions
• Some remarks on reproducing kernel Krein spaces
• A theorem on reproducing kernel Hilbert spaces of pairs
• A theorem of Naimark, linear systems, and scattering operators
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• Theory of Reproducing Kernels
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II

This page was built for publication: On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm