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Gleason's theorem is not constructively provable

✍ Scribed by Geoffrey Hellman

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
516 KB
Volume
22
Category
Article
ISSN
0022-3611

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✍ Fred Richman; Douglas Bridges πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 167 KB

Gleason's theorem states that any totally additive measure on the closed subspaces, or projections, of a Hilbert space of dimension greater than two is given by a positive operator of trace class. In this paper we give a constructive proof of that theorem.