Ideals of denominators in the disk-algebra
Mortini, R. & Sasane, A.
(2009).
Ideals of denominators in the disk-algebra.
The Bulletin of the London Mathematical Society,
41(4), 669-675.
https://doi.org/10.1112/blms/bdp057
(2009).
Ideals of denominators in the disk-algebra.
The Bulletin of the London Mathematical Society,
41(4), 669-675.
https://doi.org/10.1112/blms/bdp057
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}