Remarks on Effect Algebras

被引：1

作者：

Majewski, Wladyslaw A. ^{[1
]}

Tylec, Tomasz I. ^{[1
]}

机构：

[1] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2010年 / 49卷 / 12期

关键词：

Effect algebras; State spaces; Operator algebras;

D O I：

10.1007/s10773-009-0226-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Erik M Alfsen and Frederic W Shultz had recently developed the characterisation of state spaces of operator algebras It established full equivalence (in the mathematical sense) between the Heisenberg and the Schrodinger picture, 1 e given a physical system we are able to construct its state space out of its observables as well as to construct algebra of observables from its state space As an underlying mathematical structure they used the theory of duality of ordered linear spaces and obtained results are valid for various types of operator algebras (namely C*, von Neumann, JB and JBW algebras) Here, we show that the language they developed also admits a representation of an effect algebra

引用

页码：3185 / 3191

页数：7

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