Geodesic
On the theory of the noncommutative spaces $L_1$ and~$L_2$
Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz (1983), pp. 96-105.

Voir la notice de l'article provenant de la source Math-Net.Ru

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     author = {N. V. Trunov},
     title = {On the theory of the noncommutative spaces $L_1$ and~$L_2$},
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N. V. Trunov. On the theory of the noncommutative spaces $L_1$ and~$L_2$. Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz (1983), pp. 96-105. http://geodesic.mathdoc.fr/item/KUKTF_1983_a9/

[1] Vainerman L. I., Kats G. I., “Neunimodulyarnye koltsevye gruppy i algebry Khopfa–fon Neimana”, Matematicheskii sbornik, 94:2 (1974), 194–225 | MR | Zbl

[2] Sigal I. E., “Nekommutativnoe obobschenie abstraktnogo integrirovaniya”, Matematika (sb. perevodov), 6:1 (1962), 65–132 | MR

[3] Takesaki M., “Teoriya Tomita modulyarnykh gilbertovykh algebr i ee prilozheniya”, Matematika (sb. perevodov), 18:3 (1974), 84–120; 18:4, 34–63 | Zbl

[4] Trunov N. V., Sherstnev A. N., “K obschei teorii integrirovaniya v algebrakh operatorov otnositelno vesa. I, II”, Izv. vuzov. Matematika, 1978, no. 7, 79–88 ; no. 12, 88–98 | MR | Zbl | MR | Zbl

[5] Trunov N. V., Lokalno konechnye vesa na algebrakh Neimana, Rukopis dep. v VINITI 10 yanv. 1979 g., No 101-79 Dep., 24 pp.

[6] Trunov K. V., “Prostranstva $L_p$, assotsiirovannye s vesom na polukonechnoi algebre Neimana”, Konstruktivnaya teoriya funktsii i funktsionalnyi analiz, no. 3, Izd-vo KGU, Kazan, 1981, 88–93 | MR | Zbl

[7] Dixmier J., Les algèbres d'opérateurs dans l'espace hilbertien (algèbres de von Neumann), Gauthier-Villars, Paris, 1969 | Zbl

[8] Inoue A., “$L^1$-space associated with a weight”, Mem. Fac. Sci. Kyushu Univ. Ser. A, 27 (1973), 291–308 | MR | Zbl

[9] Pedersen G. K., Takesaki M., “The Radon–Nikodym theorem for von Neumann algebras”, Acta math., 130:1-2 (1973), 53–87 | DOI | MR | Zbl

[10] Sakai Sh., $C^*$-algebras and $W^*$-algebras, Springer-Verlag, 1971 | MR | Zbl

[11] Takesaki M., “Duality and von Neumann algebras”, Lect. Notes Math., 247, 1972, 665–786 | MR | Zbl