局部交换子及其酉系统中的r-重游荡算子
Local commutant and wandering r-tuple of operators for unitary systems
郑宇洁 1刘爱芳1
作者信息
- 1. 太原理工大学数学学院,山西晋中 030600
- 折叠
摘要
根据完全游荡向量的相关理论,引入酉系统中的r-重完全游荡算子以及局部交换子的概念.并给出局部交换子的若干性质.同时,借助局部交换子得到酉系统的全体r-重完全游荡算子的一个刻画及其他代数性质.最后,举例说明了主要结果.
Abstract
According to the theory of completely wandering vector,the concepts of complete wandering operators with multiplicity r for unitary systems and local commutant are introduced.Then the properties of local commutant are given.Meanwhile,a character-ization and other algebraic properties of the set of r-tuple complete wandering operators for unitary systems are obtained by means of the local commutators.Finally,some examples are given to illustrate the main results.
关键词
r-重完全游荡算子/酉系统/局部交换子/g-标准正交基Key words
r-tuple complete wandering operator/unitary system/local commutant/g-orthonormal basis引用本文复制引用
基金项目
国家自然科学基金资助项目(11801397)
出版年
2024
NETL
NSTL
万方数据