摘要
利用算子直和分解的方法,研究了单项2n阶自伴向量微分算子谱的离散性,得到了这类微分算子的谱是离散的一个充分必要条件.
The discreteness of differential operator spectrum of2n-th order mono-term self-adjoint vector is studied with the method of decomposition of operator direct sum and a necessary and sufficient condition is obtained for that the spectra of this sort of operators should be discrete.
作者
钱志祥
QIAN Zhi-xiang(Department of Basic Teaching,Guangdong Polytechnic College,Zhaoqing 526100,China)
出处
《兰州理工大学学报》
CAS
北大核心
2018年第6期163-166,共4页
Journal of Lanzhou University of Technology
基金
广东省教育厅基金(2017KTSCX204)
广东省高层次人才培养项目(9251064101000015)
关键词
自伴向量微分算子
离散谱
算子直和分解
充要条件
self-adjoint vector differential operator
discrete spectrum
direct sum decomposition
sufficient and necessary condition