Geodesic
An upper bound for the distance to finitely generated ideals in Douglas algebras
Pamela Gorkin1 ; Raymond Mortini2 ; Daniel Suárez3
1 Department of Mathematics Bucknell University Lewisburg, PA 17837, U.S.A.
2 Département de Mathématiques Université de Metz Ile du Saulcy F-57045 Metz, France
3 Departamento de Matemática Facultad de Cs. Exactas y Naturales UBA, Pab. I, Ciudad Universitaria (1428) Núñez, Capital Federal, Argentina
Studia Mathematica, Tome 148 (2001) no. 1, pp. 23-36

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm148-1-3
Keywords: function douglas algebra finitely generated ideal estimate distance allows generalize result obtained bourgain infty arbitrary douglas algebras

Pamela Gorkin 1 ; Raymond Mortini 2 ; Daniel Suárez 3

1 Department of Mathematics Bucknell University Lewisburg, PA 17837, U.S.A.
2 Département de Mathématiques Université de Metz Ile du Saulcy F-57045 Metz, France
3 Departamento de Matemática Facultad de Cs. Exactas y Naturales UBA, Pab. I, Ciudad Universitaria (1428) Núñez, Capital Federal, Argentina 
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Pamela Gorkin; Raymond Mortini; Daniel Suárez. An upper bound for the distance to
finitely generated ideals in Douglas algebras. Studia Mathematica, Tome 148 (2001) no. 1, pp. 23-36. doi: 10.4064/sm148-1-3

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