This article is cited in 8 papers

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

A. A. Arsen'ev


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.

UDC: 517.946.9+531.19

MSC: Primary 28C10, 58F05; Secondary 47B10, 58D20, 70H05, 70H15

Received: 08.09.1981

 English version: Mathematics of the USSR-Sbornik, 1984, 49:2, 291–303

Bibliographic databases:

• 
•