We construct strongly mixing invariant measures with full support for operators on F-spaces which satisfy the Frequent Hypercyclicity Criterion. For unilateral backward shifts on sequence spaces, a slight modification shows ...
[EN] Given a Furstenberg family F of subsets of N, an operator T on a topological vector space X is called F-transitive provided for each non-empty open subsets U, V of X the set {n is an element of Z(+) : T-n (U) boolean ...
We characterize when backward shift operators defined on Banach sequence spaces exhibit the strong specification property. In particular, within this framework, the specification property is equivalent to the notion of ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2016-03-10)
[EN] The dynamics of linear operators, namely linear dynamics, is mainly concerned with the behaviour of iterates of linear transformations. Hypercyclicity is the study of linear operators that possess a dense orbit. ...
Bonet Solves, José Antonio(Springer-Verlag, 2022-10)
[EN]
In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them. Results about the solid ...