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Gleason theorem for signed measures with infinite values. (English) Zbl 0584.46053

The Gleason theorem for signed measures with infinite values on the lattice of all closed subspaces of a Hilbert space whose dimension is a nonreal measurable cardinal number \(\neq 2\) is proved.

MSC:

46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
06C20 Complemented modular lattices, continuous geometries
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References:

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