A Beurling type theorem in weighted Bergman spaces

DOI10.1016/j.crma.2013.06.004zbMath1277.47012OpenAlexW2006561547MaRDI QIDQ367181

Vladimir Bolotnikov, Joseph A. Ball

Publication date: 26 September 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1631073X13001374

zbMATH Keywords

weighted Bergman spacesshift-invariant subspaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) 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 (11)

Operator theory on noncommutative polydomains. I. ⋮ An invariant subspace theorem and invariant subspaces of analytic reproducing kernel Hilbert spaces. II ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Dilations, wandering subspaces, and inner functions ⋮ Invariant subspaces for certain tuples of operators with applications to reproducing kernel correspondences ⋮ Noncommutative hyperballs, wandering subspaces, and inner functions ⋮ Bergman inner functions and \(m\)-hypercontractions ⋮ Invariant subspaces and operator model theory on noncommutative varieties ⋮ Operator positivity and analytic models of commuting tuples of operators ⋮ A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor

Cites Work

• Unnamed Item
• Beurling's theorem for the Bergman space
• Invariant subspaces and Nevanlinna-Pick kernels
• Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems
• A characteristic operator function for the class of \(n\)-hypercontractions
• Mean value surfaces with prescribed curvature form
• On two problems concerning linear transformations in Hilbert space
• Shifts on Hilbert spaces.
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces

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