Isomorphisms of spaces of continuous affine functions
type: Item
instance of: scholarly article
title: Isomorphisms of spaces of continuous affine functions
zbMATH Open document ID: 0728.46011
author: Cho-Ho Chu
author: Henry B. Cohen
published in: Pacific Journal of Mathematics
publication date: 1992-01-01T00:00:00Z
review text: Let \(K\) and \(S\) be compact convex sets and let \(A(K)\) and \(A(S)\) be the corresponding Banach spaces of continuous affine functions. If the Banach-Mazur distance between \(A(K)\) and \(A(S)\) is less than 2, then under certain geometric conditions, the extreme boundaries of \(K\) and \(S\) are homeomorphic. This extends a result of Amir and Cambern, and has applications to function algebras.
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 46J10
zbMATH DE Number: 4203049
zbMATH Keywords: Banach spaces of continuous affine functions
zbMATH Keywords: Banach-Mazur distance
zbMATH Keywords: extreme boundaries
MaRDI profile type: Publication
full work available at URL: pjm.1992.155.71
OpenAlex ID: W2074913524
DOI: 10.2140/PJM.1992.155.71
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description: scientific article; zbMATH DE number 4203049