摘要
研究无界2×2分块算子矩阵是Fredholm算子、Weyl算子的充要条件;给出了次对角元占优2×2分块算子矩阵的本质谱、Weyl谱与其子块算子本质谱、Weyl谱的关系;研究了主对角元占优2×2分块算子矩阵的本质谱、Weyl谱与其子块算子本质谱、Weyl谱的关系.
This paper is concerned with the necessary and sufficient conditions that a class of unbounded 2×2 block operator matrices are Fredholm operators or Weyl operators.Some necessary and sufficient conditions are given under which the essential spectrum and the Weyl spectrum of the block operator matrix coincide with the essential spectrum and the Weyl spectrum of its entries.
作者
李琳
杨树生
张晓军
阿拉坦仓
LI Lin;YANG Shu-sheng;ZHANG Xiao-jun;Alatancang(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;Department of Science,Hetao Universi ty,Bayannaoer 015000,China;Department of Mathemat ic,Hohhot Mmzu College,Hohhot 010051,China)
出处
《数学的实践与认识》
北大核心
2019年第7期221-231,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金(11761029)
内蒙古自治区高等学校科学研究项目(NJZY259)
内蒙古自治区高等学校科学研究项目(NJZY17375)
河套学院科学研究项目自然科学一般类基金(HYZY200702)
关键词
本质谱
WEYL谱
分块算子矩阵
essential spectrum
Weyl spectrum
block operator matrix
