An upper bound for the distance to finitely generated ideals in Douglas algebras
Volume 148 / 2001
Studia Mathematica 148 (2001), 23-36
MSC: 46J15, 46J20.
DOI: 10.4064/sm148-1-3
Abstract
Let $f$ be a function in the Douglas algebra $A$ and let $I$ be a finitely generated ideal in $A$. We give an estimate for the distance from $f$ to $I$ that allows us to generalize a result obtained by Bourgain for $H^\infty $ to arbitrary Douglas algebras.
