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.

引用

页码：1635 / 1656

页数：22

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