算子演算的a-Browder定理和(ω_1)性质的等价性  

The equivalence of a-Browder theorem and property (ω_1) for operational calculus of operators

作　　者：张鹤佳[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,陕西西安710062

出　　处：《山东大学学报（理学版）》2011年第4期108-112,共5页Journal of Shandong University(Natural Science)

基　　金：陕西师范大学中央高校基本科研业务费专项资金资助项目(GK200901015);陕西师范大学研究生培养创新基金资助项目(2010CXS022)

摘　　要：根据一致可逆性质定义的一种新谱集σ2(.)。通过它与变化的本质逼近点谱σ1(·)之间的关系,给出了算子演算满足a-Browder定理和有(ω1)性质的充要条件。研究了a-Browder定理和(ω1)性质对算子及其共轭的算子演算同时成立的条件,描述了H(P)类算子的算子演算的(ω1)性质。The sufficient and necessary conditions are given for an operational calculus which satisfies a-Browder theorem and has property （ω1） by the variant of the essential approximate point spectrumσ1 （ · ） and the spectrum σ2 （ · ） defined in terms of the property of consistency in invertibility. Then the relation is considered between a-Browder theo- rem holding for an operational calculus and its conjugate having property （ω1）. Also the condition of the operational calculus of an H（P） operator having property （ω1） is researched.

关 键 词：谱 a-Browder定理 (ω1)性质 

分 类 号：O177.2[理学—数学]