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Three methods for the solution of the problem about the measures on projectors. (Russian) Zbl 0569.46039

It is shown that every bounded measure on the projectors of a continuous semi-finite von Neumann algebra of operators acting in a separable complex Hilbert space can be extended to a linear bounded functional on the von Neumann algebra in question.
Reviewer: W.Guz

MSC:

46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
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