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Theses

Quelques problèmes de dynamique linéaire dans les espaces de Banach

Abstract : This thesis is mainly devoted to some problems of linear dynamics in Banach spaces. In particular, we answer a recent question of Hájek and Smith by constructing, in any separable Banach space of infinite dimension, a bounded operator such that its orbits tending to infinity form a set which is neither empty, nor dense. We also connect the behaviour of bounded operators with the asymptotic modulus of smoothness.
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https://tel.archives-ouvertes.fr/tel-00744968
Contributor : Jean-Matthieu Augé <>
Submitted on : Wednesday, October 24, 2012 - 12:02:25 PM
Last modification on : Thursday, January 11, 2018 - 6:21:22 AM
Long-term archiving on: : Saturday, December 17, 2016 - 4:09:44 AM

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Jean-Matthieu Augé. Quelques problèmes de dynamique linéaire dans les espaces de Banach. Analyse fonctionnelle [math.FA]. Université Sciences et Technologies - Bordeaux I, 2012. Français. ⟨tel-00744968⟩

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