Introduction to the dynamics of linear operators
As the title indicates, I plan to give 3 introductory lectures on the
dynamics of linear operators.
In the first lecture, I should give some basic facts concerning
hypercyclic operators, i.e. linear
operators having a dense orbit. The second lecture should be mainly
devoted to
the construction of a hypercyclic operator which does not satisfy the
so-called
Hypercyclicity Criterion. Finally, in the third lecture I should try to
explain the connections
between unimodular eigenvalues and the existence of an invariant
ergodic measure.
Presentation