A converse to a theorem of Adamyan, Arov and Krein

DOI10.1090/S0894-0347-99-00291-XzbMath0913.46025OpenAlexW1529320818MaRDI QIDQ4235498

N. J. Young, Jim Agler

Publication date: 22 March 1999

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-99-00291-x

zbMATH Keywords

interpolationHardy spacereproducing kernelmultiplierPick's theoremAdamyan-Arov-Krein theoremAkhiezer's theorem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

A Hilbert space approach to singularities of functions ⋮ Jet functions having indefinite Carathéodory-Pick matrices

Cites Work

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• The commutant lifting approach to interpolation problems
• Nehari and Nevanlinna-Pick problems and holomorphic extensions in the polydisk in terms of restricted BMO
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Nevanlinna-Pick Interpolation on Sobolev Space
• On the role of the Nevanlinna–Pick problem in circuit and system theory
• Bounds for eigenvalues and singular values of matrix completions
• Functions Which are Almost Multipliers of Hilbert Function Spaces
• Generalized Interpolation in H ∞
• Theory of Reproducing Kernels

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