Inverse Mapping Theorem

  • Rami Shakarchi


(Tate)Let E, F be complete normed vector spaces. Let f: E → F be a map having the following property. There exists a number C > 0 such that for all x, yE we have
$$\left| {f(x + y) - f(x) - f(y)} \right|C.$$


Inverse Mapping Integral Vector Absolute Convergence Inverse Mapping Theorem Local Isomorphism 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Rami Shakarchi
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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