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An Extension Theorem and a Dual Proof of a Theorem of Gleason

✍ Scribed by Wright, J. D. M.


Book ID
120098951
Publisher
Oxford University Press
Year
1968
Tongue
English
Weight
83 KB
Volume
s1-43
Category
Article
ISSN
0024-6107

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A Constructive Proof of Gleason's Theore
✍ 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.