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Ideals of denominators in the disk-algebra

By Raymond Mortini and Amol Sasane


We show that there do not exist finitely generated, non-principal ideals of denominators in the disk-algebra A(D). Our proof involves a new factorization theorem for A(D) that is based on Treil's determination of the Bass stable rank for H{infty

Topics: QA Mathematics
Publisher: Oxford University Press
Year: 2009
DOI identifier: 10.1112/blms
OAI identifier:
Provided by: LSE Research Online
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