摘要
本文通过研究群似酉系统的若干重要性质,证明了作用在可分Hilbert空间上的任一群似酉系统都具有膨胀性.这一结果将韩德广与Larson关于群酉系统具有膨胀性的结果扩大到了群似酉系统.
In this paper, we study some important properties of the group-like unitary system acting on a separable Hilbert space and prove that it has the dilation property. So the result of the dilation property of the group unitary system given by Han and Larson is generalized to that of the group-like unitary system.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2005年第4期703-706,共4页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10171098)
关键词
酉系统
群似酉系统
酉系统的膨胀性
Unitary system
Group-like unitary system
Dilation property of the unitary system
