Douglas algebras which are invariant under the Bourgain map

DOI10.1007/BF01197054zbMath0760.46050OpenAlexW2069365926MaRDI QIDQ1203573

Raymond Mortini, Rahman M. Younis

Publication date: 10 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197054

zbMATH Keywords

maximal idealuniform algebrabounded analytic functionsGleason partsDouglas algebrapeak setBourgain algebraBourgain map

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Subalgebras of commutative topological algebras (46J30)

Related Items

Bourgain algebras on the maximal ideal space of \(H^ \infty\), A distance formula and Bourgain algebras, Douglas algebras on the boundary of the big disk

Cites Work

• Division in Douglas algebras and some applications
• Divisibility in Douglas algebras
• Prime ideals in closed subalgebras of \(L^{\infty}\)
• The Dunford-Pettis property for certain planar uniform algebras
• Bounded analytic functions and Gleason parts
• Sequences in the Maximal Ideal Space of H ∞
• Completely Continuous Hankel Operators on H ∞ and Bourgain Algebras
• Countably Generated Douglas Algebras
• Maximal Douglas Subalgebras and Minimal Support Points
• Bourgain Algebras of Douglas Algebras
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