Christensen, Erik Measures on projections and physical states. (English) Zbl 0507.46052 Commun. Math. Phys. 86, 529-538 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 38 Documents MSC: 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras 46L10 General theory of von Neumann algebras 46L30 States of selfadjoint operator algebras 81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) 46C99 Inner product spaces and their generalizations, Hilbert spaces Keywords:Gleason measures; measure on projections of a von Neumann algebra; linear state; quantum logic PDFBibTeX XMLCite \textit{E. Christensen}, Commun. Math. Phys. 86, 529--538 (1982; Zbl 0507.46052) Full Text: DOI References: [1] Aarnes, J.F.: Quasi-states onC*-algebras. Trans. Am. Math. Soc.149, 601-625 (1970) · Zbl 0212.15403 [2] Dixmier, J.: LesC*-algebres et leurs representations. Paris: Gauthier-Villars 1969 [3] Gleason, A.M.: Measures on closed subspaces of a Hilbert space. J. Math. Mech.6, 885-893 (1957) · Zbl 0078.28803 [4] Gunson, J.: Physical states on quantum logics. I. Ann. Inst. Henri Poincar? A17, 295-311 (1972) [5] Jauch, J.M.: Foundations of quantum mechanics. Reading. Mass.: Addison-Wesley 1968 · Zbl 0166.23301 [6] Mackey, G.W.: Quantum mechanics and Hilbert space. Am. Math. Month.64, 45-57 (1957) · Zbl 0137.23805 · doi:10.2307/2308516 [7] Pedersen, G.K.:C*-algebras and their automorphism groups. New York: Academic Press 1979 · Zbl 0416.46043 [8] Takesaki, M.: Theory of operator algebras. I. Berlin, Heidelberg, New York: Springer 1979 · Zbl 0436.46043 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.