Multivariable Bergman shifts and Wold decompositions

DOI10.1007/s00020-018-2481-3OpenAlexW2963765461WikidataQ129503668 ScholiaQ129503668MaRDI QIDQ1990894

Jörg Eschmeier, Sebastian Langendörfer

Publication date: 26 October 2018

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

Full work available at URL: https://arxiv.org/abs/1801.07520

zbMATH Keywords

Wold decompositionanalytic modelsmultivariable Bergman shifts

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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Cites Work

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• \(\mathcal{U}\)-invariant kernels, defect operators, and graded submodules
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• Bergman inner functions and \(m\)-hypercontractions
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