拟相似算子近似点谱的连通分支(英文)  

Components of the Approximate Point Spectra of Quasisimilar Operators

作　　者：阮颖彬[1] 

机构地区：[1]厦门大学数学系

出　　处：《应用泛函分析学报》2002年第2期97-103,共7页Acta Analysis Functionalis Applicata

摘　　要：讨论了Banach空间X上两个算子T,S拟相似时,近似点谱σa(T)的每一个连通分支与σa(S) 以及σ5(S)的相交关系.证明了σa(T)的每一个连通分支与σ5(S)的交非空,并且给出了σa(T)的连通 分支与σa(S)交非空的充要条件.In this article, we study the intersection relations of the components of approximate point spectrum σa(T) with σa(S) and σs (S), T and S being quasisimilar operators acting on a Banach space. First, we give the necessary and sufficient conditions for the component of σa(T) to intersect σa(S). Secondly, we prove that every component of σa(T) intersects σs(S), and every component of σs(T) intersects σa(S).

关 键 词：拟相似算子 近似点谱 连通分支 BANACH空间 

分 类 号：O177.2[理学—数学]