摘要
受到已有文献在不同空间上关于Toeplitz算子的相关研究工作的启发,本文展开了对Toeplitz算子的交换性的研究.通过借助于Brown-Halmos定理,应用Coburn引理和数学归纳法得到了任意有限多个Toeplitz算子可交换的充要条件.并且通过进一步研究,还得到了任意有限个Toeplitz算子模去有限秩算子可交换的充分必要条件.
Inspired by related research work on Toeplitz operators in different spaces,then the research on the commutativity of Toeplitz operators has been launched.By means of Brown-Halmos'theorem,applying Coburn's lemma and mathematical induction,the necessary and sufficient conditions for the commutativity of any finitely many Toeplitz operators have been obtained,and through further research,the necessary and sufficient conditions for the commutativity of any finite Toeplitz operator modulo the finite rank operators been obtained.
作者
丁宣浩
梁焕超
李永宁
DING Xuanhao;LIANG Huanchao;LI Yongning(School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, China)
出处
《西南师范大学学报（自然科学版）》
CAS
2022年第2期27-31,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11871122,12101092)
重庆市自然科学基金项目(cstc2020jcyj-msxmX0318)
重庆市教委基金项目(KJQN202100822)
重庆工商大学基金项目(2020316,2053010)
重庆工商大学研究生创新型科研项目(yjscxx2021-112-108).
