Acta mathematica scientia,Series B

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

Shi Ping; Ma Jipu   

  1. Department of Mathematics, Nanjing University, Nanjing 210093, China
    Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China
  • Received:2003-04-21 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
  • Contact: Shi Ping

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Abstract:

In this article the concept of local conjugation of a C1 mapping between two Banach manifolds is introduced. Then a rank theorem for nonlinear semi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.

Key words: Banach manifold, nonlinear semi-Fredholm operators, local conjugation, rank theorem

CLC Number: 

  • 47A53
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