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Les espaces $$L^ p$$ d’une algebre de von Neumann definies par la derivee spatiale. (German) Zbl 0463.46050

##### MSC:
 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras
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##### References:
 [1] Araki, H, Golden-Thompson inéquality, Comm. math. phys., 34, 167-178, (1973) · Zbl 0274.46048 [2] \scA. Connes, On the spatial theory of von Neumann algebras, preprint, Inst. Hautes Études Sci., Feance. [3] Dixmier, J, Formes linéaires sur un anneau d’opérateurs, Bull. soc. math. France, 81, (1953) · Zbl 0050.11501 [4] Epstein, H, Comm. math. phys., 31, (1973) [5] Gross, L, Physical ground states, J. functional analysis, 10, 52-109, (1972) · Zbl 0237.47012 [6] \scU. Haagerup, L^p-Spaces associated with a von Neumann algebra, preprint, Odense Universitet, Denmark. · Zbl 0426.46045 [7] Haagerup, U, Dual weights on crossed products, Math. scand., 43, (1978) [8] Kunze, R, Trans. amer. math. soc., 89, (1958) [9] Lieb, E.H, WYD concavity, Advances in math., 11, (1973) [10] Nelson, E, Non-commutative integration, J. functional analysis, 15, 103-116, (1974) · Zbl 0292.46030 [11] Reed, M; Simon, B, () [12] Segal, I, Ann. of math., 57, (1973)
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