On $0-1$ measure for projectors

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Article

On $0-1$ measure for projectors. (English). Aplikace matematiky, vol. 25 (1980), issue 5, pp. 373-374

MSC: 03G12, 06E99, 46C99, 46L51, 46L53, 46L54, 81B10 | MR 0590490 | Zbl 0455.46057 | DOI: 10.21136/AM.1980.103871

Keywords:
Gleason measure

Summary:
An example of a finite set of projectors in $E_3$ is exhibited for which no 0-1 measure exists.

References:

[1] A. M. Gleason: Measure on the closed subspaces of a Hilbert space. Journal of Math. and Mech. 6 (1957), 885-893. MR 0096113

[2] S. Kochen E. P. Specker: The problem of hidden variables in quantum mechanics. Journal of Math. and Mech. 17 (1967), 59-67. MR 0219280

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