Symmetries of Hilbert space effect algebras (Q2854247)

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scientific article; zbMATH DE number 6216291
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Symmetries of Hilbert space effect algebras
scientific article; zbMATH DE number 6216291

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    Symmetries of Hilbert space effect algebras (English)
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    18 October 2013
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    effect algebras
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    symmetries
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    adjacency-preserving maps
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    Quantum effects play an important role in mathematical foundations of quantum mechanics. The Hilbert effect algebra is the set of all effects. In the paper under review, the authors first give the general characterizations of bijective maps preserving adjacency on Hilbert effect algebras. By using this result, the authors then reprove some known results and also obtain some new results.
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