On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces

DOI10.1007/BF01270919zbMath1009.47013OpenAlexW2070139932MaRDI QIDQ1600103

Călin-Grigore Ambrozie, Dan Timotin

Publication date: 15 April 2003

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

Full work available at URL: https://doi.org/10.1007/bf01270919

zbMATH Keywords

multipliersreproducing kernel Hilbert spaceintertwining liftingNevanlinna-Pick property

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (10)

Commutant lifting and Nevanlinna-Pick interpolation in several variables ⋮ Bergman spaces over noncommutative domains and commutant lifting ⋮ The corona problem for kernel multiplier algebras ⋮ Contractively included subspaces of Pick spaces ⋮ Interpolation in semigroupoid algebras ⋮ Commutant lifting and factorization of reproducing kernels ⋮ Characteristic function for polynomially contractive commuting tuples ⋮ Operator positivity and analytic models of commuting tuples of operators ⋮ Hilbert spaces of Dirichlet series and their multipliers ⋮ Nevanlinna-Pick spaces with hyponormal multiplication operators

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• Nevanlinna-Pick Kernels and Localization
• Generalized Interpolation in H ∞
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