Representable Effect Algebras and Observables

被引：0
作者：
Anatolij Dvurečenskij
机构：
[1] Slovak Academy of Sciences,Mathematical Institute
[2] Palacký University,Department of Algebra and Geometry
来源：
International Journal of Theoretical Physics | 2014年 / 53卷
关键词：
Effect algebra; Compatibility; Strong-compatible; Internal compatibility; Monotone ; -completeness; Homogeneous algebra; Observable; Block;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a class of monotone σ-complete effect algebras, called representable, which are σ-homomorphic images of a class of monotone σ-complete effect algebras of functions taking values in the interval [0, 1] and with effect algebra operations defined by points. We exhibit different types of compatibilities and show their connection to representability. Finally, we study observables and show situations when information of an observable on all intervals of the form (−∞, t) gives full information about the observable.
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页码：2855 / 2866
页数：11
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