Comptes Rendus
no. 11
Dynamical Systems
An invertible contraction that is not C1-linearizable
[Une contraction inversible qui n'est pas C1-linéarisable]

Présenté par : Étienne Ghys

Hildebrando M. Rodrigues1 ; J. Solà-Morales2
1 Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil
2 Departament de Matemàtica Aplicada 1, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain
Comptes Rendus. Mathématique, Volume 340 (2005) no. 11, pp. 847-850.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.04.028
Hildebrando M. Rodrigues 1 ; J. Solà-Morales 2

1 Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil
2 Departament de Matemàtica Aplicada 1, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain 
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Hildebrando M. Rodrigues; J. Solà-Morales. An invertible contraction that is not $ {C}^{1}$-linearizable. Comptes Rendus. Mathématique, Volume 340 (2005) no. 11, pp. 847-850. doi : 10.1016/j.crma.2005.04.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.04.028/

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