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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 2, Pages 291–303
DOI: https://doi.org/10.1070/SM1984v049n02ABEH002711 (Mi sm2194) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On invariant measures for classical dynamical systems with infinite-dimensional phase space

A. A. Arsen'ev
English version PDF (527 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM1984v049n02ABEH002711
Abstract: 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.
Received: 08.09.1981
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 121(163), Number 3(7), Pages 297–309
Bibliographic databases:
UDC: 517.946.9+531.19
MSC: Primary 28C10, 58F05; Secondary 47B10, 58D20, 70H05, 70H15
Language: English
Original paper language: Russian
Citation: A. A. Arsen'ev, “On invariant measures for classical dynamical systems with infinite-dimensional phase space”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 297–309; Math. USSR-Sb., 49:2 (1984), 291–303
Citation in format AMSBIB
\Bibitem{Ars83}
\by A.~A.~Arsen'ev
\paper On invariant measures for classical dynamical systems with infinite-dimensional phase space
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 121(163)
\issue 3(7)
\pages 297--309
\mathnet{http://mi.mathnet.ru/sm2194}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=707998}
\zmath{https://zbmath.org/?q=an:0542.58007}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 2
\pages 291--303
\crossref{https://doi.org/10.1070/SM1984v049n02ABEH002711}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:109
    English version PDF:8
    References:41
     
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