The Liouville theorem for infinite-dimensional Hamilton-Dirac systems (Q1595622)

This paper deals with the Liouville theorem for infinite-dimensional Hamilton-Dirac systems and follows the work of Dirac. Here the central role is played by the concepts of a vector-valued first integral and the Poisson bracket for vector-valued functions. The authors show that their Liouville theorem for Hamilton-Dirac systems describes the set of all solutions to the Cauchy problem for the Hamilton-Dirac system.