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Ten questions in linear dynamics

Volume 112 / 2017

Sophie Grivaux Banach Center Publications 112 (2017), 143-151 MSC: 47A16, 37A25, 37B20. DOI: 10.4064/bc112-0-8


Linear dynamical systems are systems of the form $(X,T)$, where $X$ is an infinite-dimensional separable Banach space and $T\in\mathcal{B}(X)$ is a bounded linear operator on $X$. We present and motivate ten questions concerning these systems, which bear on both topological and ergodic-theoretic aspects of the theory.


  • Sophie GrivauxCNRS
    Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
    UMR 7352
    Université de Picardie Jules Verne
    33 rue Saint-Leu
    80039 Amiens Cedex 1, France

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