A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS  

作　　者：史平 马吉溥 

机构地区：[1]Department of Mathematics Nanjing University

出　　处：《Acta Mathematica Scientia》2006年第1期107-114,共8页数学物理学报（B辑英文版）

基　　金：This research was supported by the National Natural Science Foundation of China (10271053)the Doctoral Programme Foundation of the Ministry of Education of China

摘　　要：In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.

关 键 词：Banach manifold nonlinear semi-Fredholm operators local conjugation rank theorem 

分 类 号：O177[理学—数学]