New look at Gleason's theorem for signed measures |
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| Authors: | Anatolij Dvurečenskij |
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| Institution: | (1) Institute of Measurement and Measuring Techniques CEPR, Slovak Academy of Sciences, 842 19 Bratislava, Czechoslovakia |
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| Abstract: | It is shown that the Gleason theorem holds not only for a finite but also for ann-finite signed measurem, wheren is a cardinal, defined on all closed subspaces of a Hilbert space whose dimension is a nonmeasurable cardinal  2, ifm is bounded from below on all one-dimensional subspaces. |
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