Banach空间中一类C∞函数芽等价的条件

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 223-228.

Banach空间中一类C^∞函数芽等价的条件

1. Department of Mathematics, Qiannan Normal College for Nationalities2. School of Computer and Information Technology, Beijing Jiaotong University

收稿日期:2007-11-01 出版日期:2011-06-30 发布日期:2023-04-28
作者简介:CEN Yan-bin(1949-), male, native of Dushan, Guizhou, a professor of Qiannan Normal College for Nationalities, engages in Lie group theory, singularity theory.
基金资助:
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；

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

1. Department of Mathematics, Qiannan Normal College for Nationalities2. School of Computer and Information Technology, Beijing Jiaotong University

Received:2007-11-01 Online:2011-06-30 Published:2023-04-28
About author:CEN Yan-bin(1949-), male, native of Dushan, Guizhou, a professor of Qiannan Normal College for Nationalities, engages in Lie group theory, singularity theory.
Supported by:
BSupported 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；

摘要/Abstract

摘要： 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.

关键词: Banach space, converse theorem, Frodholm gem, right equivalent, implicit
function

Abstract: 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.

Key words: Banach space, converse theorem, Frodholm gem, right equivalent, implicit
function

中图分类号:

O177.2

岑燕斌, 刘文武, 岑翼刚. Banach空间中一类C^∞函数芽等价的条件[J]. 数学季刊, 2011, 26(2): 223-228.

CEN Yan-bin, LIU Wen-wu, CEN Yi-gang. The Conditions of Equivalence of a Class Germs of C^∞Functions on Banach Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 223-228.

[1]	王晓凤, 许逸飞. Banach 空间中推广的一类Roper-Suffridge 算子[J]. 数学季刊, 2013, 28(3): 468-474.
[2]	杨景保, 韦忠礼. Banach空间中广义的Sturm-Liouville m点边界值问题的正解[J]. 数学季刊, 2011, 26(2): 265-269.
[3]	龚小兵. B值鞅的Hàjek-Rèniy型不等式及其应用[J]. 数学季刊, 2010, 25(3): 464-469.
[4]	刘英, 陈永利, 何震. Banach空间中关于(H,η)-增生算子的一类新变分包含组问题[J]. 数学季刊, 2008, 23(4): 565-573.
[5]	袁国常, 覃黎明. Banach空间上算子代数的超自反性[J]. 数学季刊, 2005, 20(2): 178-184.
[6]	张志宏, 李文丰. 非线性二元算子方程组的迭代求解方法[J]. 数学季刊, 2004, 19(3): 262-266.