New look at Gleason's theorem for signed measures (Q1094643)

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scientific article; zbMATH DE number 4026150
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New look at Gleason's theorem for signed measures
scientific article; zbMATH DE number 4026150

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    New look at Gleason's theorem for signed measures (English)
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    1987
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    The Gleason theorem for finite signed measures bounded from below on one- dimensional subspaces is proved. It is known, due to \textit{A. N. Sherstnev} [Veroyatn. Metody Kibern. 10--11, 68--72 (1974; Zbl 0303.28015)], that there are finite signed measures for which the Gleason theorem do not hold. The Gleason theorem for semibounded infinite signed measures is formulated.
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    quantum
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    bilinear form
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    Gleason theorem for semibounded infinite signed measures
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