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An invertible contraction that is not <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-linearizable
We present an example of a smooth invertible contraction in an infinite-dimensional Hilbert space that is not locally C1-linearizable near its fixed point. To cite this article: H.M. Rodrigues, J. Solà -Morales, C. R. Acad. Sci. Paris, Ser. I 340 (2005). Nous présentons un exemple de contraction inversible et régulière dans …