On one-parameter Koopman groups

被引：7
|
作者：
ter Elst, A. F. M. [1 ]
Lemanczyk, M. [2 ]
机构：
[1] Univ Auckland, Dept Math, Private Bag 92019, Auckland 1142, New Zealand
[2] Nicolaus Copernicus Univ, Fac Math & Comp Sci, 12-18 Chopin St, PL-87100 Torun, Poland
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2017年 / 37卷
关键词：
D O I：
10.1017/etds.2015.111
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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-infinity(X) and for which the infinitesimal generator is a derivation on the bounded functions in its domain.
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页码：1635 / 1656
页数：22
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