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An elementary proof of Gleason's theorem

Published online by Cambridge University Press:  24 October 2008

Roger Cooke ,
Michael Keane  and
William Moran
Roger Cooke
Affiliation:
Department of Philosophy, Delft University of Technology
Michael Keane
Affiliation:
Department of Mathematics, Delft University of Technology
William Moran
Affiliation:
Department of Mathematics, University of Adelaide
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Abstract

Gleason's theorem characterizes the totally additive measures on the closed sub-spaces of a separable real or complex Hilbert space of dimension greater than two. This paper presents an elementary proof of Gleason's theorem which is accessible to undergraduates having completed a first course in real analysis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 117 - 128
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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