Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 223-228.

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

  

  1. 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;

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

CLC Number: