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Ronald G. Douglas
Variations on a theme of Beurling view print
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| Published: |
January 30, 2011
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| Keywords: |
Invariant subspaces, Beurling's Theorem, Hilbert modules |
| Subject: |
46E22, 46J10, 47A15. |
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Abstract
Interpretations of the Beurling-Lax-Halmos Theorem on invariant subspaces of the unilateral shift are explored using the language of Hilbert modules. Extensions and consequences are considered in both the one and multivariate cases with an emphasis on the classical Hardy, Bergman and Drury-Arveson spaces.
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| Acknowledgements
During the time the research leading up to this note was carried out, the author was partially supported by a grant from the National Science Foundation.
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| Author information
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
rdouglas@math.tamu.edu\quad http://www.math.tamu.edu/~ron.douglas
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