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A Constructive Proof of the Gelfand—Kolmogorov Theorem

✍ Scribed by He Wei


Book ID
111571011
Publisher
Springer
Year
2004
Tongue
English
Weight
64 KB
Volume
12
Category
Article
ISSN
0927-2852

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A Constructive Proof of Gleason's Theore
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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.