Sets of states and extreme points

Karsten Keller

doi:10.1007/BF00670369

Sets of states and extreme points

Karsten Keller^*

^*Corresponding author for this work

Institute of Mathematics

3 Citations (Scopus)

Abstract

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 language	English
Journal	International Journal of Theoretical Physics
Volume	28
Issue number	1
Pages (from-to)	27-34
Number of pages	8
ISSN	0020-7748
DOIs	https://doi.org/10.1007/BF00670369
Publication status	Published - 01.01.1989

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10.1007/BF00670369

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AB - 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.

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DO - 10.1007/BF00670369

M3 - Journal articles

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SN - 0020-7748

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EP - 34

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 1

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Sets of states and extreme points

Abstract

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