复Banach空间上连续线性算子的G-K性质  

The Property G-K of the Continuous Linear Operator on the Banach Space

作　　者：袁国常[1] 雷国营[1] 刘晚香[1] 

机构地区：[1]三峡旅游职业技术学院基础部,湖北宜昌443100

出　　处：《西南大学学报（自然科学版）》2012年第2期87-91,共5页Journal of Southwest University(Natural Science Edition)

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.Let X be a Banach space, the operator set Φ±-H（p） is introduced in B（X）. It is proved that the oprator Φ±-H（p） has the property G-K. In addition, the stability of the property G-K for theoperator under perturbation is studied in some known classes.

关 键 词：广义逆 广义谱 G-K性质 

分 类 号：O177.2[理学—数学]