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复B a n a c h空间上连续线性算子的G - K性质
引用本文:袁国常,雷国营,刘晚香. 复B a n a c h空间上连续线性算子的G - K性质[J]. 西南大学学报(自然科学版), 2012, 34(2): 087-091
作者姓名:袁国常  雷国营  刘晚香
作者单位:三峡旅游职业技术学院基础部
摘    要:
设X为复Banach空间,在B(X)中引入一类算子Φ±-H(p),证明了该类算子具有G-K性质,并且讨论了这类算子的G-K性质在代数算子摄动下的稳定性.

关 键 词:广义逆  广义谱  G-K性质

The Property G-K of the Continuous Linear Operator on the Banach Space
YUAN Guo-chang,LEI Guo-ying,LIU Wan-xiang. The Property G-K of the Continuous Linear Operator on the Banach Space[J]. Journal of southwest university (Natural science edition), 2012, 34(2): 087-091
Authors:YUAN Guo-chang  LEI Guo-ying  LIU Wan-xiang
Affiliation:Department of Basic Courses,Three Gorges Travel Vocational College,Yichang Hubei 443100,China
Abstract:
Let X be a Banach space,the operator set Φ±-H(P) is introduced in B(X).It is proved that the oprator T∈Φ±-H(P) has the property G-K.In addition,the stability of the property G-K for the operator under perturbation is studied in some known classes.
Keywords:generalized inverse  generalized spectrum  property G-K
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