[EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney
chaos. ...
[EN] The existence of chaos and the quest of dense orbits have been recently considered for dynamical systems given by multivalued linear operators. We consider the notions of topological transitivity, topologically mixing ...
[EN] During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ...
Mandal, Pabitra Narayan(Universitat Politècnica de València, 2022-04-01)
[EN] In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either ...