讨论复Banach空间上两类推广的Roper-Suffridge算子,证明该算子保持强β型螺形映照、强α次殆星映形照、α次强β型螺形映照及α次殆β型螺形映照的性质,并作为特殊情况包含了已有的结论.
In this paper, the property of two kinds of Roper-Suffridge extension operators in complex Banach space is discussed, and the fact is proved that the operators keep the properties of strongly spiral-like mappings of type β , strong and almost star-like map- pings of order α , strongly spiral-like mappings of type β and order α and almost spiral-like mappings of type β and order α , and as the special case, the results extend the known results.