摘要
研究了Banach空间中非线性映射的局部线性化问题,在仅假设非线性映射的Fréchet导数存在有界广义逆的条件下,给出了非线性映射的一个局部性质,这个局部性质不仅统一了经典的局部浸没定理和局部浸入定理,而且推广了V.Cafagna的主要结果.
This paper investigates the local conjugacy problem in Banach spaces. We provide a local property of nonlinear mappings under the assumption of its Frechet derivative having bounded generalized inverses. Our main results not only unify local immersion theorem and local submersion theorem, but also generalize the main results of V.Cafagna.
出处
《淮阴师范学院学报（自然科学版）》
CAS
2005年第3期180-183,共4页
Journal of Huaiyin Teachers College;Natural Science Edition
基金
国家自然科学基金资助项目(10271053)
