Sharp and unsharp observables on \(\sigma \)-MV algebras -- a comparison with the Hilbert space approach (Q835281)
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scientific article; zbMATH DE number 5599505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp and unsharp observables on \(\sigma \)-MV algebras -- a comparison with the Hilbert space approach |
scientific article; zbMATH DE number 5599505 |
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Sharp and unsharp observables on \(\sigma \)-MV algebras -- a comparison with the Hilbert space approach (English)
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28 August 2009
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MV algebras present an algebraic counterpart of many-valued logic. Nowadays, they are also an important part of effect algebras. The authoress studies observables and characterizes them by the Loomis-Sikorski theorem via tribes of fuzzy sets. She derives important analogues of Markov kernels. The results are then applied to commuting POV-measures.
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probability MV-algebra
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state
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observable
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Markov kernel
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weak Markov kernel
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0.8824654
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0.87101185
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0.8591685
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0.8568972
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