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

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.