Mortini, Raymond, Sasane, Amol and Wick, Brett (2010) The Corona Theorem and stable rank for the algebra C plus BH infinity. Houston Journal of Mathematics, 36 (1). pp. 289-301. ISSN 0362-1588
Abstract
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H∞B:=C+BH∞. That is, we show the equivalence of the classical Corona Condition Σ |fj | > δ> 0 on data f1, …, fn in H∞B and the solvability of the Bezout equation Σ gjfj =1 for g1, …, gn. Estimates on solutions to the Bezout equation are also obtained. We also show that the Bass stable rank of H∞B is 1. Analogous results are obtained also for A(D)B.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.math.uh.edu/~hjm/ |
| Additional Information: | ©2010 The University of Houston |
| Library of Congress subject classification: | Q Science > QA Mathematics |
| Sets: | Departments > Mathematics |
| Identification Number: | UT ISI:000276308000019 |
| Date Deposited: | 23 Jul 2010 13:12 |
| URL: | http://eprints.lse.ac.uk/28828/ |
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