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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Maximal invariant subspaces for $A^2_{\alpha}(D)$


Author: Tavan T. Trent
Journal: Proc. Amer. Math. Soc. 132 (2004), 2429-2432
MSC (2000): Primary 47A15, 32A46, 46E22
Published electronically: March 25, 2004
MathSciNet review: 2052421
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Abstract: We find the maximal invariant subspaces for $M_z$ on $\mathbb{C} ^n$-valued Bergman-type spaces.


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Additional Information

Tavan T. Trent
Affiliation: Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350
Email: ttrent@gp.as.ua.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07365-4
PII: S 0002-9939(04)07365-4
Keywords: Maximal invariant subspace, Bergman space
Received by editor(s): April 15, 2003
Received by editor(s) in revised form: May 22, 2003
Published electronically: March 25, 2004
Additional Notes: Partially supported by NSF Grant DMS-0100294.
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2004 American Mathematical Society