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On Beurling-type theorems in weighted  and Bergman spaces
Author(s):
Serguei
Shimorin
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1777-1787.
MSC (2000):
Primary 47B37;
Secondary 47A15, 47A63, 30H05
Posted:
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  and Bergman spaces.
References:
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Additional Information:
Serguei
Shimorin
Affiliation:
Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden
Email:
shimorin@math.kth.se
DOI:
10.1090/S0002-9939-02-06721-7
PII:
S 0002-9939(02)06721-7
Keywords:
Analytic operators,
wandering subspaces,
Bergman spaces
Received by editor(s):
December 14, 2001
Received by editor(s) in revised form:
January 14, 2002
Posted:
October 15, 2002
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2002,
American Mathematical Society
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