摘要
主要研究了Banach空间上2×2分块算子矩阵H=(ABCD)的八类本质谱的刻画,并且根据算子矩阵的Frobenius-Schur分解,得到了H的本质谱与Schur补本质谱之间的关系.
The essential spectrum of 2×2 block operator matrix of the form H=（A B C D）whose entries are unbounded operators between Banach spaces is studied. According to the Frobenius- Schur decomposition of operator matrices,the relationship between the essential spectrum of H and essential spectrum of Schur complement is found.
作者
张洋洋
吴德玉
阿拉坦仓
ZHANG Yang-yang, WU De-yu, Alatancang(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021,Chin)
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2018年第2期120-125,共6页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金(No.11561048
11371185)
内蒙古自治区自然科学基金(No.2015MS0116)资助
关键词
本质谱
可闭性
SCHUR补
essential spectrum
closedness
Schur complement
