Closed and prime ideals of weak Bezout type in \(H^ \infty\)

DOI10.1016/0022-4049(91)90089-KzbMath0781.46039MaRDI QIDQ1181452

Raymond Mortini

Publication date: 27 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Shilov boundaryBanach algebras of analytic functionsinfinite chain of prime idealsweak Bezout prime idealsweak Bezout property

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Ideals, maximal ideals, boundaries (46J20)

Related Items (2)

Alling's conjecture on closed prime ideals in \(H^ \infty\) ⋮ Countably generated prime ideals in \(H^{\infty}\)

Cites Work

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• Complex analysis. A functional analysis approach
• Strong extreme points and ideals in uniform algebras
• Two algebras of bounded functions
• Hauptideale und ausere Funktionen im Ring \(H^\infty\)
• Primideale in der topologischen Algebra \(H^\infty(\beta)\)
• A Beurling-Rudin theorem for \(H^{\infty}\)
• Prime ideals in closed subalgebras of \(L^{\infty}\)
• F -Ideals in QA _B

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