Sets of states and extreme points

Karsten Keller*

*Corresponding author for this work
3 Citations (Scopus)


The natural embedding of orthoposets and quantum logics, equipped with certain sets of states, into their corresponding order-unit normed vector space is investigated. Necessary (resp. sufficient) conditions are stated for the case that the image of the embedding and the extreme points of the order interval, bounded by 0 and the order unit, coincide. Modifications of the state space are discussed from this point of view and the special case of a Boolean algebra is characterized.

Original languageEnglish
JournalInternational Journal of Theoretical Physics
Issue number1
Pages (from-to)27-34
Number of pages8
Publication statusPublished - 01.01.1989


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