BBGKY hierarchy and its evolution operator for one class of integrable systems

We define the abstract BBGKY hierarchy and its formal evolution operator. The existence of the latter is established in a special Banach space for a system of charged particles with Chern-Simons interaction regularized for small and large distances. An analog of the high-temperature expansion of equilibrium statistical mechanics is applied.Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 6, pp. 853–858, June, 1995.