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Weak compactness in certain star-shift invariant subspaces.

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Publication:1403841
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DOI10.1016/S0022-1236(03)00060-0zbMath1071.30055OpenAlexW2024202898MaRDI QIDQ1403841

John R. Akeroyd, Harold S. Shapiro, Dmitry Khavinson

Publication date: 4 September 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00060-0


zbMATH Keywords

invariant subspacesingular measurebackward shift


Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Existence theories for optimal control problems involving partial differential equations (49J20)


Related Items

Factorization and non-factorization theorems for pseudocontinuable functions ⋮ Notes on certain star-shift invariant subspaces



Cites Work

  • Zero sets and multiplier theorems for star-invariant subspaces
  • Multiplicative structure of de Branges's spaces
  • Kernels of Toeplitz operators via Bourgain's factorization theorem
  • Cyclic vectors and invariant subspaces of the backward shift operator
  • On Some Interpolation Problems for Analytic Functions
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