Helson's existence theorem of function algebras

DOI10.1007/BF01238515zbMath0398.46043OpenAlexW1985670096MaRDI QIDQ1254514

Takahiko Nakazi

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01238515

zbMATH Keywords

Invariant SubspacesHardy SpacesFunction AlgebraGroups With Archimedean Ordered DualsHelson's Existence TheoremRepresenting MeasuresUnimodular Functions

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Compact groups (22C05)

Related Items (2)

Some typical ideal in a uniform algebra ⋮ Cocycles and Local Product Decomposition

Cites Work

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• Invariant subspaces of weak-*Dirichlet algebras
• Abstract analytic function theory and Hardy algebras
• The \(H^ p\) spaces of a class of function algebras
• Embedding Riemann surfaces in maximal ideal spaces
• Approximation by inner functions
• Theory of abstract Hardy spaces and the universal Hardy class
• A Note on Helson's Existence Theorem

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