Ten questions in linear dynamics
Volume 112 / 2017
Banach Center Publications 112 (2017), 143-151
MSC: 47A16, 37A25, 37B20.
DOI: 10.4064/bc112-0-8
Abstract
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.