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On Beurling-type theorems in weighted $l^2$ and Bergman spaces

Author: Serguei Shimorin
Journal: Proc. Amer. Math. Soc. 131 (2003), 1777-1787
MSC (2000): Primary 47B37; Secondary 47A15, 47A63, 30H05
Published electronically: October 15, 2002
MathSciNet review: 1955265
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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.

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Additional Information

Serguei Shimorin
Affiliation: Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden

Keywords: Analytic operators, wandering subspaces, Bergman spaces
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
Article copyright: © Copyright 2002 American Mathematical Society