Peak point theorems for uniform algebras on smooth manifolds

DOI10.1007/s00209-008-0313-xzbMath1166.46030OpenAlexW2048824508MaRDI QIDQ957917

John T. Anderson, Alexander J. Izzo

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0313-x

zbMATH Keywords

uniform algebrasmooth manifoldpeak point

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (7)

A peak point theorem for uniform algebras on real-analytic varieties ⋮ Uniform algebras on the sphere invariant under group actions ⋮ Localization for uniform algebras generated by real-analytic functions ⋮ Uniform approximation on manifolds ⋮ Analytic discs and uniform algebras generated by real-analytic functions ⋮ Isolated point theorems for uniform algebras on smooth manifolds ⋮ Isolated point theorems for uniform algebras on two- and three-manifolds

Cites Work

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• Polynomial approximation on real-analytic varieties in $\mathbf {C}^n$
• Failure of Polynomial Approximation on Polynomially Convex Subsets of the Sphere
• Holomorphic approximation on compact, holomorphically convex, real-analytic varieties
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
• On Rationally Convex Hulls

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