Strong extreme points and ideals in uniform algebras
type: Item
instance of: scholarly article
title: Strong extreme points and ideals in uniform algebras
zbMATH Open document ID: 0639.46046
DOI: 10.1007/BF01198354
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 4042577
zbMATH Keywords: strong extreme points in an arbitrary uniform algebra
zbMATH Keywords: uniform algebras of holomorphic functions
zbMATH Keywords: ideal
zbMATH Keywords: Shilov boundary
author: Raymond Mortini
author: Michael von Renteln
reviewed by: Michael von Renteln
MaRDI profile type: Publication
cites work: Q5597848
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description: scientific article; zbMATH DE number 4042577