斜对角算子矩阵的Weyl谱  

Weyl spectrum of off-diagonal operator matrices

作　　者：李燕清 黄俊杰[1] 阿拉坦仓 LI Yan-qing;HUANG Jun-jie;Alatancang(School of Math.Sci,Inner Mongolia Univ.,Hohhot 010021,China;School of Math.Sci,Inner Mongolia Normal Univ.,Hohhot 010022,China)

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《高校应用数学学报（A辑）》2022年第2期246-252,共7页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11961052,11761029);内蒙古自治区自然科学基金(2021MS01006,2020ZD01)。

摘　　要：利用斜对角算子矩阵H=(^(0)_(C)^(B)_(0)):D(C)■D(B)■X■X→X■X中两个斜对角元之积BC和CB的谱性质刻画了H的左(右)Weyl谱和Weyl谱.作为推论,给出了算子矩阵H的左(右)本质谱和本质谱的描述.For the off-diagonal operator matrix H=(C^(0)_(C)^(B)_(0)):D(C)■D(B)■X■X→X■X,the left(right)Weyl spectrum and Weyl spectrum of H are characterized,based on the spectral properties of the products BC and CB of its off-diagonal entries.As corollaries,the descriptions of the left(right)essential spectrum and essential spectrum of H are also presented..

关 键 词：斜对角算子矩阵 本质谱 WEYL谱 

分 类 号：O177.1[理学—数学]