Multivariable Beurling–Lax representations: the commutative and free noncommutative settings
DOI10.1007/s44146-022-00010-5OpenAlexW4294169787WikidataQ114215833 ScholiaQ114215833MaRDI QIDQ5046936
Joseph A. Ball, Vladimir Bolotnikov
Publication date: 9 November 2022
Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s44146-022-00010-5
reproducing kernel Hilbert spacesshift-invariant subspacespositive kernelscomplete Pick kernelfree noncommutative function theory
Invariant subspaces of linear operators (47A15) 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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)
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