An invertible contraction that is not C<sup>1</sup>-linearizable

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Title:	An invertible contraction that is not C¹-linearizable; Une contraction inversible qui n'est pas C1-linéarisable
Author:	Munhoz Rodrigues, Hildebrando; Solà-Morales Rubió, Joan de
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We present an example of a smooth invertible contraction in aninfinite-dimensional Hilbert space that is not locally ${\mathcalC}^{1}$-linearizable near its fixed point.
Abstract:	Nous présentons un exemple de contraction inversible et régulière dans un espace de Hilbert de dimension infinie qui n'est pas localement C1-linéarisable autour de son point fixe.
Subject(s):	-Dynamical systems -Conversió invertible -Sistemes dinàmics -Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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