Convexity properties of state spaces of uniform algebras
type: Item
instance of: scholarly article
title: Convexity properties of state spaces of uniform algebras
zbMATH Open document ID: 0636.46051
author: Wasin So
published in: Southeast Asian Bulletin of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Let A be a uniform algebra on a compact Hausdorff space X and let \[ S_ A:=\{L\in A^*: L(1)=1=\| L\| \} \] be the state space of A. \(S_ A\) is a compact convex set in the weak-star-topology. In his main result the author shows that, under certain conditions, the convex hull of two state spaces of uniform algebras is a state space of a third uniform algebra.
Mathematics Subject Classification ID: 46J10
zbMATH DE Number: 4036495
zbMATH Keywords: compact convex set in the weak-star-topology
zbMATH Keywords: convex hull of two state spaces of uniform algebras is a state space of a third uniform algebra
reviewed by: Michael von Renteln
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4036495