On one-parameter Koopman groups
Dynamical Systems
2016-01-06 v1 Functional Analysis
Abstract
We characterize Koopman one-parameter -groups in the class of all unitary one-parameter -groups on as those that preserve and for which the infinitesimal generator is a derivation on the bounded functions in its domain.
Cite
@article{arxiv.1504.06008,
title = {On one-parameter Koopman groups},
author = {A. F. M. ter Elst and M. Lemanczyk},
journal= {arXiv preprint arXiv:1504.06008},
year = {2016}
}