On one-parameter Koopman groups

Abstract

We characterize Koopman one-parameter $C_0$-groups in the class of all unitary one-parameter $C_0$-groups on $L_2(X)$ as those that preserve $L_{\infty }(X)$ and for which the infinitesimal generator is a derivation on the bounded functions in its domain.

Cited by in corpus (2)

• Quantum dynamics of the classical harmonic oscillator
• Koopman and transfer operator techniques from the perspective of quantum theory