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Calculus for non-compatible observables, construction through conditional states - MaRDI portal

Calculus for non-compatible observables, construction through conditional states (Q2342821)

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Calculus for non-compatible observables, construction through conditional states
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    Calculus for non-compatible observables, construction through conditional states (English)
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    29 April 2015
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    The authors introduce a sum of (possibly non-compatible) observables on an orthomodular \(\sigma\)-lattice using conditional expectations. A detailed example is presented. Moreover, a sum with respect to a Boolean sub-\(\sigma\)-algebra is introduced and several characterizations of its commutativity are given.
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    orthomodular lattice
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    conditional expectation
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    sum of observables
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