Enlargements of quantum logics (Q1821801)

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scientific article; zbMATH DE number 3999993
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English
Enlargements of quantum logics
scientific article; zbMATH DE number 3999993

    Statements

    Enlargements of quantum logics (English)
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    1988
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    Let K be a quantum logic whose state space is nonvoid. Let B be a Boolean algebra and let C be a compact convex subset of a locally convex topological linear space. Then K can be embedded into a logic L such that the centre of L equals B and the state space of L equals C. (The result remains valid when we replace the word ''logic'' with ''orthomodular lattice''.)
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    quantum logic
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    state space
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    Boolean algebra
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    locally convex topological linear space
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    centre
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    orthomodular lattice
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