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On invariant measures for classical dynamical systems with infinite-dimensional phase space
Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 291-303 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Kubo–Martin–Schwinger state is constructed for a Hamiltonian dynamical system whose phase space is Hilbert space, with Hamiltonian representable as the sum of two terms: the square of the norm and a function that is smooth on the completion of the original space in the nuclear norm. Bibliography: 5 titles. 
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A. A. Arsen'ev. On invariant measures for classical dynamical systems with infinite-dimensional phase space. Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 291-303. http://geodesic.mathdoc.fr/item/SM_1984_49_2_a1/

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[5] Go Kh.-S., Gaussovskie mery v banakhovykh prostranstvakh, Mir, M., 1979