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Maximal invariant subspaces in the Bergman space

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Publication:1127067
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DOI10.1007/BF02385669zbMath1128.47303OpenAlexW2136467868WikidataQ59288560 ScholiaQ59288560MaRDI QIDQ1127067

Haakan Hedenmalm

Publication date: 29 August 2001

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385669



Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)


Related Items (4)

Maximal invariant subspaces for 𝐴²_{𝛼}(𝐷) ⋮ Invariant subspaces of finite codimension in Banach spaces of analytic functions ⋮ Maximal invariant subspaces for a class of operators ⋮ Maximal, minimal, and primary invariant subspaces



Cites Work

  • Spectral properties of invariant subspaces in the Bergman space
  • Beurling's theorem for the Bergman space
  • The existence of invariant subspaces
  • An invariant subspace of the Bergman space having the codimension two property.
  • A factorization theorem for square area-integrable analytic functions.
  • Interpolating sequences and invariant subspaces of given index in the Bergman spaces.


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