Orthoposets of extreme points and quantum logics
type: Item
instance of: scholarly article
title: Orthoposets of extreme points and quantum logics
zbMATH Open document ID: 0712.03048
DOI: 10.1016/0034-4877(89)90003-7
author: Karsten Keller
published in: Reports on Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The author investigates the set of extreme points of an interval in an ordered vector space. He proves as the main result that this set forms, under natural assumptions, a quantum logic with a rich state space. He also shows that in the result by \textit{G. T. Rüttimann} [Rep. Math. Phys. 21, 213-222 (1985; Zbl 0591.03048)], the orthomodularity condition can be relaxed.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 4170905
zbMATH Keywords: extreme points of order-interval in a vector space
zbMATH Keywords: ordered vector space
zbMATH Keywords: quantum logic
reviewed by: Pavel Pták
MaRDI profile type: Publication
full work available at URL: 0034-4877(89)90003-7
OpenAlex ID: W2075551661
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description: scientific article; zbMATH DE number 4170905