New look at Gleason's theorem for signed measures
type: Item
instance of: scholarly article
title: New look at Gleason's theorem for signed measures
zbMATH Open document ID: 0631.46065
DOI: 10.1007/BF00668916
published in: International Journal of Theoretical Physics
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 46L30
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 4026150
zbMATH Keywords: quantum
zbMATH Keywords: bilinear form
zbMATH Keywords: Gleason theorem for semibounded infinite signed measures
author: Anatolij Dvurečenskij
MaRDI profile type: Publication
cites work: Generalization of Gleason's theorem
cites work: Q3709318
cites work: Toward finite quantum field theories
cites work: Q3245484
full work available at URL: https://doi.org/10.1007/bf00668916
OpenAlex ID: W1971113636
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description: scientific article; zbMATH DE number 4026150