Summary
The theorem of Gleason, Kahane, Zelazko is shown to imply that there are neither deterministic nor local ensemble representations of the expectation value of quantum theory. Bell’s theorem is discussed in this context.
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Bach, A. Quantum-Mechanical aspects of the theorem of Gleason, Kahane, Zelazko. Lett. Nuovo Cimento 35, 377–380 (1982). https://doi.org/10.1007/BF02754711
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DOI: https://doi.org/10.1007/BF02754711