(h)性质及其扰动  

Property (h) and Perturbations

作　　者：乌日柴胡[1,2] 阿拉坦仓 Wurichaihu;Alatancang(School of Mathematical Sciences, Inner Mongolia Normal University,Hohhot 010022;School of Mathematical Sciences, Inner Mongolia University,Hohhot 010021;Hohhot University for Nationalities, Hohhot 010051)

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022 [2]内蒙古大学数学科学学院,呼和浩持010021 [3]呼和浩特民族学院数学系,呼和浩特010051

出　　处：《数学物理学报（A辑）》2019年第4期713-719,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(11561053:11761029);内蒙古自然科学基金(2018BS01001);内蒙古自治区高等学校科学研究项目(NJZZ18018,NJZY18021)~~

摘　　要：该文引入并研究了Banach空间中的有界线性算子的(h)性质,它是α-Weyl定理的推广.进而得到了(h)性质在有限秩和幂零扰动下的稳定性.单值扩张性是局部谱理论中的重要部分,该文还证明了(h)性质与单值扩张性之间的关系,从而得到了满足(h)性质的几类算子.In this paper,we introduce and study the property(h),which extends α-Weyl’s theorem.We consider its stability under commuting finite rank and nilpotent perturbations.We prove that property(h)on Banach spaces is related to an important property which has a leading role in local spectral theory:the single-valued extension property.From this result we deduce that property(h)holds for several classes of operators.

关 键 词：单值扩张性 α-Weyl定理 (h)性质 

分 类 号：O177.1[理学—数学]