On one-parameter Koopman groups
classification
🧮 math.DS
math.FA
keywords
groupsone-parameterkoopmanboundedcharacterizeclassderivationdomain
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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.
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