RT journal article
T1 Chaotic Behaviour on Invariant Sets of Linear Operators
A1 Murillo Arcila, Marina
A1 Peris, A.
A2 Matemáticas
K1 Hypercyclic operators
K1 invariant sets
K1 topological mixing
K1 Devaney chaos
K1 mixing measures
AB We study hypercyclicity, Devaney chaos, topological mixingproperties and strong mixing in the measure-theoretic sense for opera-tors on topological vector spaces with invariant sets. More precisely, ourpurpose is to establish links between the fact of satisfying any of ourdynamical properties on certain invariant sets, and the correspondingproperty on the closed linear span of the invariant set, or on the unionof the invariant sets. Viceversa, we give conditions on the operator (orC0-semigroup) to ensure that, when restricted to the invariant set, itsatis es certain dynamical property. Particular attention is given to thecase of positive operators and semigroups on lattices, and the (invariant)positive cone. We also present examples that illustrate these results.
PB Springer
YR 2015
FD 2015
LK http://hdl.handle.net/10498/35530
UL http://hdl.handle.net/10498/35530
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026