Regular Gleason Measures and Generalized Effect Algebras

被引：0
|
作者：
Anatolij Dvurečenskij
Jiří Janda
机构：
[1] Mathematical Institute,Department of Algebra and Geometry
[2] Slovak Academy of Sciences,Department of Mathematics and Statistics, Faculty of Science
[3] Palacký University,undefined
[4] Masaryk University,undefined
来源：
International Journal of Theoretical Physics | 2015年 / 54卷
关键词：
Hilbert space; Measure; Regular measure; -additive measure; Gleason measure; Generalized effect algebra; Bilinear form; Singular bilinear form; Regular bilinear form; Monotone convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study measures, finitely additive measures, regular measures, and σ-additive measures that can attain even infinite values on the quantum logic of a Hilbert space. We show when particular classes of non-negative measures can be studied in the frame of generalized effect algebras.
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页码：4313 / 4326
页数：13
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