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拟相似算子近似点谱的连通分支

阮颖彬

应用泛函分析学报2002,Vol.4Issue(2):97-103,7.
应用泛函分析学报2002,Vol.4Issue(2):97-103,7.

拟相似算子近似点谱的连通分支

Components of the Approximate Point Spectra of Quasisimilar Operators

阮颖彬1

作者信息

  • 1. 厦门大学数学系,福建,厦门,361005;福建师范大学数学系,福建,福州,350007
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摘要

Abstract

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

Banach空间/近似点谱/连通分支

Key words

Banach space/approximate point spectrum/component

分类

数理科学

引用本文复制引用

阮颖彬..拟相似算子近似点谱的连通分支[J].应用泛函分析学报,2002,4(2):97-103,7.

应用泛函分析学报

OACSCD

1009-1327

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