Sets of states and extreme points
type: Item
instance of: scholarly article
title: Sets of states and extreme points
zbMATH Open document ID: 0673.03048
DOI: 10.1007/BF00670369
author: Karsten Keller
published in: International Journal of Theoretical Physics
publication date: 1989-01-01T00:00:00Z
review text: Let P be an orthoposet with a given convex set of states, \(\Delta\), on it. The author is interested in the case when the image of P under the natural embedding into the corresponding order unit normal vector space coincides with the set of extreme points of the order interval \([0,1_{\Delta}]\), where \(1_{\Delta}\) is the order unit. Several sufficient as well as necessary conditions are stated for the case, those P that are Boolean algebras are characterized, and modifications of the state space are discussed from this viewpoint.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 52A07
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 4101179
zbMATH Keywords: orthoposet
zbMATH Keywords: convex set of states
zbMATH Keywords: order unit normal vector space
zbMATH Keywords: Boolean algebras
zbMATH Keywords: state space
reviewed by: Jānis Cīrulis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4101179