The Conditions of Equivalence of a Class Germs of C~∞ Functions on Banach Spaces

The Conditions of Equivalence of a Class Germs of C~∞ Functions on Banach Spaces

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摘要在这份报纸，我们证明宝石的 converse 是正确的等价物也是真的在[1 ] 并且[2 ] ，获得一个班的等价的必要、足够的条件在 Banach 空格的 Cfunction 的宝石。 In this paper,we prove the converse of gem is right equivalent is also true in[1] and[2],obtain the necessary and sufficient conditions of equivalence of a class gems of C∞ function on Banach spaces.

作者 CEN Yan-bin LIU Wen-wu CEN Yi-gang

机构地区 Department of Mathematics School of Computer and InformatiOn Technology

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期223-228,共6页 数学季刊（英文版）

基金 Supported by the National Science Foundation of China（60802045） Supported by the Science and Technology Foundation of Guizhou（20052004） Supported by the Science Foundation of Qiannan Normal College for Nationalities

关键词 Banach 空间交谈定理 Frodholm 宝石恰好相等含蓄的功能 Banach space converse theorem Frodholm gem right equivalent implicit function

分类号 O186.33 [理学—基础数学]

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Chinese Quarterly Journal of Mathematics

2011年第2期

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The Conditions of Equivalence of a Class Germs of C~∞ Functions on Banach Spaces

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