We obtain new characterizations of Li Yorke chaos for linear operators on
Banach and Fréchet spaces. We also offer conditions under which an operator admits a
dense set or linear manifold of irregular vectors. Some of ...
[EN] In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for operators on Banach spaces, but we exhibit ...