Abstract
In 1.1 the notions of a q-algebra and a q-σ-algebra were introduced. The first was a natural generalization of the family of all subsets of a (finite) set X, the second was a generalization of a σ-algebra of subsets. Simple examples show that the investigation of a measure on a q-algebra (q-σ-algebra) exhibits differences in comparison with the theory built on an algebra (σ-algebra). Let us recall, e.g., that a measure on a q-algebra need not be subadditive.
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© 1997 Beloslav Riecan and Tibor Neubrunn
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Riečan, B., Neubrunn, T. (1997). Quantum logics. In: Integral, Measure, and Ordering. Mathematics and Its Applications, vol 411. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8919-2_6
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DOI: https://doi.org/10.1007/978-94-015-8919-2_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4855-4
Online ISBN: 978-94-015-8919-2
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