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(ω)性质的摄动

辛巧玲 曹小红

中国科学院研究生院学报2012,Vol.29Issue(5):586-593,8.
中国科学院研究生院学报2012,Vol.29Issue(5):586-593,8.

(ω)性质的摄动

Perturbations for property (ω)

辛巧玲 1曹小红1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,西安710062
  • 折叠

摘要

Abstract

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

Key words

property ( ω )/perturbation/consistent in invertibility/power finite-rank operators /algebraically quasi-class A

分类

数理科学

引用本文复制引用

辛巧玲,曹小红..(ω)性质的摄动[J].中国科学院研究生院学报,2012,29(5):586-593,8.

基金项目

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

中国科学院研究生院学报

OA北大核心CSCDCSTPCD

2095-6134

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