单位圆盘代数上的加权复合算子的有限和

摘要

In this paper, we investigate the compact sum of weighted composition operators on the unit disk algebra. The connectedness of the topology space consisted of non-zero weighted composition operators on the unit disk algebra is also studied.%首先研究了作用在单位圆盘代数上的加权复合算子有限和的紧性,而后证明了非零加权复合算子的全体构成的拓扑空间是连通的.