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@article{KUKTF_1990_a7, author = {O. E. Tikhonov}, title = {Banach spaces associated with the space of states and the information function}, journal = {Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz}, pages = {67--90}, publisher = {mathdoc}, year = {1990}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/KUKTF_1990_a7/} }
O. E. Tikhonov. Banach spaces associated with the space of states and the information function. Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz (1990), pp. 67-90. http://geodesic.mathdoc.fr/item/KUKTF_1990_a7/
[1] Kpacnoselskii M. A., Lifshits E. A., Sobolev A. V., Pozitivnye lineinye sistemy: metod polozhitelnykh operatorov, Nauka, M., 1985 | MR
[2] Tikhonov O. E., “Integriruemye bilineinye formy i integral po operatornoznachnoi mere”, Izv. vuzov. Matem., 1982, no. 3, 76–80 | MR | Zbl
[3] Tikhonov O. E., “Prostranstvo tipa $\mathcal{L}_p$ otnositelno vesa na algebre Neimana”, Izv. vuzov. Matem., 1982, no. 8, 76–78 | MR | Zbl
[4] Tikhonov O. E., Neravenstva dlya sleda na algebre Neimana, Kazan. un-t, Kazan, 1982, 32 pp., Dep. v VINITI 16.11.1982, No 5602-82
[5] Tikhonov O. E., Neravenstva dlya prostranstv v spektralnoi dvoistvennosti, svyazannye s vypuklymi funktsiyami i sledom, Kazan. un-t, Kazan, 1987, 11 pp., Dep. v VINITI 20.05.1987, No 3591-V87 | MR
[6] Trunov N. V., “Integrirovanie v algebrakh Neimana i regulyarnye vesa”, Konstruktivnaya teoriya funktsii i funk. analiz, 3, Kazan, 1981, 73–87 | MR | Zbl
[7] Trunov N. V., Sherstnev A. N., “K obschei teorii integrirovaniya v algebrakh operatorov otnositelno vesa, I”, Izv. vuzov. Matem., 1978, no. 7, 79–88 | MR | Zbl
[8] Trunov N. V., Sherstnev A. N., “Vvedenie v teoriyu nekommutativnogo integrirovaniya”, Sovremennye probl. matematiki. Noveishie dostizheniya, 27, M., 1985, 167–190 | MR
[9] Kholevo A. S., Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, Nauka, M., 1980 | MR | Zbl
[10] Asimow L., Ellis A. J., Convexity theory and its applications in functional analysis, Academic Press, London, 1980 | MR | Zbl
[11] Dixmier J., Les algebres d'operateurs dan's l'espace Hilbertien (algebres de von Neumann), Gauthier–Villars, Paris, 1969
[12] Holevo A. S., “Commutation superoperator of a state and its applications in noncommutative statistics”, Reports Math. Phys., 12:2 (1977), 251–271 | DOI | MR | Zbl
[13] Holevo A. S., “Statistical definition of observable and the structure of statistical models”, Reports Math. Phys., 22:3 (1985), 385–407 | DOI | MR
[14] Ozava M., “Optimal measurements for general quantum systems”, Reports Math. Phys., 18:1 (1980), 11–28 | DOI | MR
[15] Rüttimann G., Schindler C., “On $\sigma$-convex sets of probability measures”, Bull. Polish Academy Sci. Math., 35:9–10 (1987), 583–595 | MR | Zbl
[16] Segal I., “A noncommutative extension of abstract integration”, Ann. Math., 57 (1953), 401–457 | DOI | MR | Zbl
[17] Yeadon F., “Non-commutative $L^p$-spaces”, Math. Proc. Cambridge Phyl. Soc., 77:1 (1975), 91–102 | DOI | MR | Zbl