Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the orthogonal group and some groups of symplectomorphisms of the Hilbert space …