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Measures Defined on Quantum Logics of Sets

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Abstract

We study families formed with subsets of any set X which are quantum logics but which are not Boolean algebras. We consider sequences of measures defined on a sets quantum logics and valued on an effect algebra and obtain a sufficient condition for a sequences of such measures to be uniformly strongly additive with respect to order topology of effect algebras.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Cádiz, Apdo–40, 11510, Puerto Real (Cádiz), Spain

    A. Aizpuru & A. Gutiérrez-Dávila

  2. Department of Mathematics, Zhejiang University, Hangzhou, People's Republic of China, 310027

    Wu Junde

Authors
  1. A. Aizpuru
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  2. A. Gutiérrez-Dávila
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  3. Wu Junde
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Correspondence to Wu Junde.

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Aizpuru, A., Gutiérrez-Dávila, A. & Junde, W. Measures Defined on Quantum Logics of Sets. Int J Theor Phys 44, 1451–1458 (2005). https://doi.org/10.1007/s10773-005-4779-6

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  • DOI: https://doi.org/10.1007/s10773-005-4779-6

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