| On the Extension Operator in Banach Spaces |
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| 引用本文： | 刘名生 朱玉灿. On the Extension Operator in Banach Spaces[J]. 数学进展, 2005, 34(4): 506-508 |
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| 作者姓名： | 刘名生 朱玉灿 |
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| 作者单位： | [1]Department of Mathematics, South China Normal University, Guangzhou, Guangdong, 510631, P. R.China [2]Department of Mathematics, Fuzhou University, Fuzhou, Fujian, 350002, P. R. China |
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| 基金项目： | This work is partly supported by the National Natural Science Foundation of China（No.10471048） and the Education Commission Foundation of Fujian Province, China（No.JA02146）, and the science and technical development foundation of Fuzhou University, China（No.2003-XY-11）. |
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| 摘 要： | ![]()
In [1], Roper and Suffridge introduced an extension operator. This operator is defined for normalized locally univalent function f on the unit disc U = {z∈C：｜z｜〈1} in C by Фn（f）（z）=（f（z1）,√ f′（z1）z0）, where z = （z1,z0） belongs to the unit ball Bn in Cn, z1∈U, z0 = （z2,...,zn） ∈ C^n-1.
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| 关 键 词： | Banach空间 扩展算子 单一函数 线性空间 |
| 收稿时间： | 2005-02-26 |
| 修稿时间： | 2005-02-26 |
On the Extension Operator in Banach Spaces |
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| LIU Ming-sheng,ZHU Yu-can. On the Extension Operator in Banach Spaces[J]. Advances in Mathematics(China), 2005, 34(4): 506-508 |
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| Authors: | LIU Ming-sheng ZHU Yu-can |
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| Abstract: | ![]()
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