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Strong extreme points and ideals in uniform algebras. (English) Zbl 0639.46046

We give a characterization of the strong extreme points in an arbitrary uniform algebra. This result is used to show for various types of uniform algebras of holomorphic functions that an ideal contains a strong extreme point if and only if the hull of the ideal does not meet the Shilov boundary.
Reviewer: M.von Renteln

MSC:

46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46A55 Convex sets in topological linear spaces; Choquet theory
46B20 Geometry and structure of normed linear spaces
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References:

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