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/ |

### Actions (login required)

Record administration - authorised staff only |