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Measures Defined on Quantum Logics of Sets |
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| Authors: | A?Aizpuru A?Gutiérrez-Dávila |
| Institution: | (1) Departamento de Matemáticas, Universidad de Cádiz, Apdo–40, 11510 Puerto Real (Cádiz), Spain;(2) Department of Mathematics, Zhejiang University, Hangzhou, People's Republic of China, 310027 |
| 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. |
| Keywords: | quantum algebras measures natural families |
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