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中文摘要：
证明推广的Roper-Suffridge算子在复Banach空间单位球上能嵌入Loewner链，并从Loewner链的角度出发讨论推广后的算子在复Banach空间单位球上保持α次殆β型螺形性，并由此推出推广后的算子在复Hilbert空间单位球上能嵌入Loewner链并保持α次殆β型螺形性．
英文摘要：
It was proved that the generalized Noper-Suffrloge operator cuuiu be chain on the unit ball in complex Banach space, and from the view point of Loewner chains it was also discussed that the generalized operator would preserve spirallikeness of type β and order a on the unit ball in complex Banach space, so that the possibility of embedment of Loewner chain on the unit ball in complex Hilbert space was concluded and it preserved spirallikeness of type fl and order a.
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