Conditional probability on \(\sigma\)-MV-algebras (Q2565803)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditional probability on \(\sigma\)-MV-algebras |
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Conditional probability on \(\sigma\)-MV-algebras (English)
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28 September 2005
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The authors study conditional probability on \(\sigma\)-complete MV-algebras. Using the generalized Loomis-Sikorski theorem, they find a generalization of the Kolmogorovian theory of conditional probability and conditional expectations of observables. Referring to Mundici's \(\Gamma\)-functor, they present analogous results for Dedekind \(\sigma\)-complete \(\ell\)-groups.
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MV-algebra
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Dedekind \(\sigma\)-complete \(\ell\)-group
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Loomis-Sikorski theorem
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tribe
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g-tribe
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conditional probability
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conditional expectation
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spectral decomposition
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observable
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