On Beurling-type theorems in weighted $l^2$ and Bergman spaces
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- by Serguei Shimorin
- Proc. Amer. Math. Soc. 131 (2003), 1777-1787
- DOI: https://doi.org/10.1090/S0002-9939-02-06721-7
- Published electronically: October 15, 2002
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Abstract:
We prove that analytic operators satisfying certain series of operator inequalities possess the wandering subspace property. As a corollary, we obtain Beurling-type theorems for invariant subspaces in certain weighted $l^2$ and Bergman spaces.References
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Bibliographic Information
- Serguei Shimorin
- Affiliation: Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden
- Email: shimorin@math.kth.se
- Received by editor(s): December 14, 2001
- Received by editor(s) in revised form: January 14, 2002
- Published electronically: October 15, 2002
- Communicated by: Joseph A. Ball
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1777-1787
- MSC (2000): Primary 47B37; Secondary 47A15, 47A63, 30H05
- DOI: https://doi.org/10.1090/S0002-9939-02-06721-7
- MathSciNet review: 1955265