An upper bound for the distance to finitely generated ideals in Douglas algebras

Pamela Gorkin; Raymond Mortini; Daniel Suárez

Studia Mathematica (2001)

  • Volume: 148, Issue: 1, page 23-36
  • ISSN: 0039-3223

Abstract

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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 to arbitrary Douglas algebras.

How to cite

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Pamela Gorkin, Raymond Mortini, and Daniel Suárez. "An upper bound for the distance to finitely generated ideals in Douglas algebras." Studia Mathematica 148.1 (2001): 23-36. <http://eudml.org/doc/285298>.

@article{PamelaGorkin2001,
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 $H^\{∞\}$ to arbitrary Douglas algebras.},
author = {Pamela Gorkin, Raymond Mortini, Daniel Suárez},
journal = {Studia Mathematica},
keywords = {Banach algebra; Douglas algebra; maximal ideal space; Carleson measure},
language = {eng},
number = {1},
pages = {23-36},
title = {An upper bound for the distance to finitely generated ideals in Douglas algebras},
url = {http://eudml.org/doc/285298},
volume = {148},
year = {2001},
}

TY - JOUR
AU - Pamela Gorkin
AU - Raymond Mortini
AU - Daniel Suárez
TI - An upper bound for the distance to finitely generated ideals in Douglas algebras
JO - Studia Mathematica
PY - 2001
VL - 148
IS - 1
SP - 23
EP - 36
AB - 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 $H^{∞}$ to arbitrary Douglas algebras.
LA - eng
KW - Banach algebra; Douglas algebra; maximal ideal space; Carleson measure
UR - http://eudml.org/doc/285298
ER -

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