Orthoposets of extreme points and quantum logics (Q923084)
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scientific article; zbMATH DE number 4170905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthoposets of extreme points and quantum logics |
scientific article; zbMATH DE number 4170905 |
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Orthoposets of extreme points and quantum logics (English)
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1989
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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.
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extreme points of order-interval in a vector space
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ordered vector space
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quantum logic
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