Geodesic
Properties of $H$ images of vector states on algebras of observables
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 324-327 
V. N. Sushko; S. S. Horuzhy. Properties of $H$ images of vector states on algebras of observables. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 324-327. http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a2/
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     author = {V. N. Sushko and S. S. Horuzhy},
     title = {Properties of $H$ images of vector states on algebras of observables},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {324--327},
     year = {1971},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A description is given of the set of Hilbert space vectors corresponding to a fixed vector state on a $W^*$ algebra of observables.

[1] V. N. Sushko, S. S. Khoruzhii, TMF, 4 (1970), 171 | Zbl

[2] V. N. Sushko, S. S. Khoruzhii, TMF, 4 (1970), 341

[3] S. S. Horuzhy, V. N. Sushko, Preprint JINR E2-5575, 1971

[4] J. Dixmier, Les algebres d'operateurs dans l'espace Hilbertien (les algebres de von Neumann), 1-ere ed., Paris, 1957 | MR

[5] J. Dixmier, Les $C^*$-algebres et leurs representations, I-re ed., Paris, 1964 | MR

[6] A. L. Licht, J. Math. Phys., 7 (1966), 1656 | DOI | MR | Zbl