A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor

DOI10.1090/PROC/14736zbMath1491.47009arXiv1905.05804OpenAlexW2955528083WikidataQ127622043 ScholiaQ127622043MaRDI QIDQ5210945

Raphaël Clouâtre, Dominik Schillo, Michael Hartz

Publication date: 16 January 2020

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

Full work available at URL: https://arxiv.org/abs/1905.05804

zbMATH Keywords

invariant subspacesfactorisationBeurling's theoremNevanlinna-Pick kernels

Mathematics Subject Classification ID

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) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (6)

Characterization of pure contractive multipliers and applications ⋮ Complete Nevanlinna-Pick kernels and the characteristic function ⋮ Interpolating sequences for pairs of spaces ⋮ Invariant subspaces for certain tuples of operators with applications to reproducing kernel correspondences ⋮ Spectra of quotient modules ⋮ Operator inequalities, functional models and ergodicity

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