A constructive proof of Gleason's theorem

Citation
F. Richman et D. Bridges, A constructive proof of Gleason's theorem, J FUNCT ANA, 162(2), 1999, pp. 287-312
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
162
Issue
2
Year of publication
1999
Pages
287 - 312
Database
ISI
SICI code
0022-1236(19990310)162:2<287:ACPOGT>2.0.ZU;2-8
Abstract
Gleason's theorem states that any totally additive measure on the closed su bspaces, or projections, of a Hilbert space of dimension greater than two i s given by a positive operator of trace class. In this paper we give a cons tructive proof of that theorem. (C) 1999 Academic Press.