Matvejchuk, M. S. Three methods for the solution of the problem about the measures on projectors. (Russian) Zbl 0569.46039 Funkts. Anal. 20, 93-105 (1983). 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 Cited in 1 Review MSC: 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras Keywords:Gleason theorem; bounded measure on the projectors of a continuous semi- finite von Neumann algebra PDFBibTeX XMLCite \textit{M. S. Matvejchuk}, Funkts. Anal. 20, 93--105 (1983; Zbl 0569.46039)