New look at Gleason's theorem for signed measures
The Gleason theorem for finite signed measures bounded from below on one- dimensional subspaces is proved. It is known, due to \textit{A. N. Sherstnev} [Veroyatn. Metody Kibern. 10--11, 68--72 (1974; Zbl 0303.28015)], that there are finite signed measures for which the Gleason theorem do not hold. The Gleason theorem for semibounded infinite signed measures is formulated.
Gleason theorem for semibounded infinite signed measures
scientific article; zbMATH DE number 4026150
scientific article