a1 Department of Philosophy, Delft University of Technology
a2 Department of Mathematics, Delft University of Technology
a3 Department of Mathematics, University of Adelaide
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.
(Received October 03 1984)