Commutant lifting and factorization of reproducing kernels

DOI10.1016/j.jfa.2004.08.011zbMath1071.47505OpenAlexW2029714074MaRDI QIDQ557042

Serguei Shimorin

Publication date: 23 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.08.011

zbMATH Keywords

reproducing kernelscommutant lifting

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 (1)

Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators

Cites Work

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• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Beurling's theorem for the Bergman space
• Complete Nevanlinna-Pick kernels
• On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• Invariant subspaces and Nevanlinna-Pick kernels
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Theory of Reproducing Kernels

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