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A boolean-valued approach to gleason's theorem

โœ Scribed by Nishimura, Hirokazu


Book ID
123175174
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
555 KB
Volume
34
Category
Article
ISSN
0034-4877

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A Constructive Proof of Gleason's Theore
โœ Fred Richman; Douglas Bridges ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.