Polynomially bounded operators and Ext groups
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- by Sarah H. Ferguson
- Proc. Amer. Math. Soc. 124 (1996), 2779-2785
- DOI: https://doi.org/10.1090/S0002-9939-96-03340-0
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Abstract:
In this paper, we consider the Ext functor in the category of Hilbert modules over the disk algebra. We characterize the group $\operatorname {Ext}_{A(D)}(K,H)$ as a quotient of operators and explicitly calculate $\operatorname {Ext}_{A(D)}(K, H^{2})$, where $K$ is a weighted Hardy space. We then use our results to give a simple proof of a result due to Bourgain.References
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Bibliographic Information
- Sarah H. Ferguson
- Email: sarah@math.uh.edu
- Received by editor(s): March 13, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2779-2785
- MSC (1991): Primary 47B38; Secondary 18G15
- DOI: https://doi.org/10.1090/S0002-9939-96-03340-0
- MathSciNet review: 1327011