Author： Harding John Jager Ekaterina Smith Derek
Publisher： Springer Publishing Company
ISSN： 0020-7748
Source： International Journal of Theoretical Physics, Vol.44, Iss.5, 2005-05, pp. : 539-548
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Abstract
We show there are no non-trivial finite Abelian group-valued measures on the lattice of closed subspaces of an infinite-dimensional Hilbert space, and we use this to establish that the unigroup of the lattice of closed subspaces of an infinite-dimensional Hilbert space is divisible. The main technique is a combinatorial construction of a set of vectors in R2ngeneralizing properties of those used in various treatments of the Kochen–Specker theorem in R4.
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