(ω)性质的摄动(英文)  

Perturbations for property(ω)

作　　者：辛巧玲[1] 曹小红[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《中国科学院研究生院学报》2012年第5期586-593,共8页Journal of the Graduate School of the Chinese Academy of Sciences

基　　金：Supported by the Fundamental Research Funds for the Central Universities(GK200901015)

摘　　要：一般地,若T满足(ω)性质,即使K是有限秩算子或紧算子,T+K也不一定有(ω)性质.根据本质逼近点谱的变形与一致可逆算子定义的谱集,给出了(ω)性质及其摄动的充要条件,并将所得结论应用于代数拟A类算子.In general,property（ω） holding for T is not transmitted to the perturbation T＋K,even when K is a finite-rank operator or compact operator.We discussed the sufficient and necessary conditions for property（ω） and its stability by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency invertibility.Using these results,we studied the case of algebraically quasi-class A operators.

关 键 词：(ω)性质 摄动 一致可逆 幂有限秩算子 代数拟A类 

分 类 号：O177.2[理学—数学]