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| 全局分析中非线性有限秩算子的局部线性化 | |
| 引用本文： | 马丽丽,李强. 全局分析中非线性有限秩算子的局部线性化[J]. 高师理科学刊, 2009, 29(6): 7-9 |
| 作者姓名： | 马丽丽 李强 |
| 作者单位： | 齐齐哈尔大学,理学院,黑龙江,齐齐哈尔,161006 |
| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
| 摘 要： | 运用广义逆理论和局部精细点已得出Banach空间中非线性映射的局部线性化定理,将此结果进行推广,考虑全局分析中,即Ck?Banach流形之间非线性有限秩算子的局部线性化问题. |
| 关 键 词： | 局部线性化 有限秩算子 Ck?Banach流形 广义逆 局部精细点 |
Local linearization of finite-rank operator in global analysis |
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| MA Li-li,LI Qiang. Local linearization of finite-rank operator in global analysis[J]. Journal of Science of Teachers＇College and University, 2009, 29(6): 7-9 | |
| Authors: | MA Li-li LI Qiang |
| Affiliation: | MA Li-li,LI Qiang(School of Science,Qiqihar University,Qiqihar 161006,China) |
| Abstract: | It has been studied that the local linearization of the unlinear mapping between Banach spaces by using of the generalized inverse theory and the definition of local fine point.Extend these results,studied the local linearization theorem of finite-rank operator betweenCk-Banach manifolds in global analysis. |
| Keywords: | local linearization finite-rank operator Ck-Banach manifolds generalized inverse local fine point |
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