A theorem of Beurling-Lax type for Hilbert spaces of functions analytic in the unit ball

DOI10.1007/s00020-002-1161-4zbMath1046.46022OpenAlexW2488797870MaRDI QIDQ1416663

Aalt Dijksma, Daniel Alpay, James Rovnyak

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1007/s00020-002-1161-4

zbMATH Keywords

invariant subspacesreproducing kernel Hilbert spaceSchur multiplierPontryagin spaceBeurling-Lax type theorem

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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