Bounded analytic functions and closed ideals

DOI10.1007/BF02790326zbMath0633.46055OpenAlexW2012178140WikidataQ59288730 ScholiaQ59288730MaRDI QIDQ1096139

Haakan Hedenmalm

Publication date: 1987

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790326

zbMATH Keywords

maximal idealbounded analytic functionsholomorphic functional calculusGleason partsingular inner functionGelfand transformsanalytic Carleman transformclosed primary idealsstructure of closed ideals of Banach algebras

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Functional calculus in topological algebras (46H30)

Related Items

Closed and prime ideals in the algebra of bounded analytic functions ⋮ On closed ideals in the big Lipschitz algebras of analytic functions ⋮ Closed ideals in weighted big Lipschitz algebras of analytic functions ⋮ Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences

Cites Work

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• Two algebras of bounded functions
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• Localization of the corona problem
• Homogeneous algebras on the circle. I: Ideals of analytic functions
• Closed ideals in the ring A\(^n\)
• The Closed Ideals in an Algebra of Analytic Functions
• On the analytic transform of bounded linear functionals on certain Banach algebras
• Bounded Analytic Functions on Domains of Infinite Connectivity
• The Maximal Ideal Space of Algebras of Bounded Analytic Functions on Infinitely Connected Domains
• Two theorems concerning functions holomorphic on multiply connected domains
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