摘要
设X和Y是Hilbert空间,T:D(T)?X→Y和S:D(S)?Y→X是稠定闭线性算子。令■:D(T)×D(S)?X×Y→X×Y,其中a,b∈C。通过T和S的图来刻画算子矩阵A的值域的正交补,进而得到了TS和ST的某些谱性质。
Let X and Y are Hilbert spaces,and let T:D(T)?X→Y and S:D(S)?Y→X be densely defined closed linear operators.Assume that■where a and b are complex numbers.The orthogonal complement of the range of operator matrices A was characterized by the graph of T and S,and then some spectral properties of TS and ST are obtained.
作者
秦丽
海国君
阿拉坦仓
QIN Li;HAI Guojun;Alatancang(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;Hohhot Minzu College,Hohhot 010051,China)
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2020年第5期457-463,共7页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金(11761052,11761029)
内蒙古自然科学基金(2020ZD01)。
关键词
算子矩阵
图
点谱
稠定闭线性算子
operator matrices
graph
point spectrum
densely defined closed linear operator
