全局分析中非线性有限秩算子的局部线性化  

Local linearization of finite-rank operator in global analysis

作　　者：马丽丽[1] 李强[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《高师理科学刊》2009年第6期7-9,共3页Journal of Science of Teachers＇College and University

基　　金：黑龙江省教育厅科学技术研究项目(11531246)

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.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.

关 键 词：局部线性化 有限秩算子 C^（k)-Banach流形 广义逆 局部精细点 

分 类 号：O177.2[理学—数学]