RT journal article
T1 Mixing properties of nonautonomous linear dynamics and invariant sets
A1 Murillo Arcila, Marina
A1 Peris, A.
A2 Matemáticas
K1 Nonautonomous discrete systems
K1 Linear dynamics
K1 Mixing properties
K1 Hypercyclic operators
AB We study mixing properties (topological mixing and weak mixing of arbitrary order) for nonautonomous linear dynamical systems that are induced by the corresponding dynamics on certain invariant sets. The type of nonautonomous systems considered here can be defined by a sequence $(T_i)_{i\in\mathbb{N}}$ of linear operators $T_i:X \rightarrow X$ on a topological vector space $X$  such that there is an invariant set $Y$  for which the dynamics restricted to $Y$   satisfies certain mixing property. We then obtain the corresponding mixing property on the closed linear span of $Y$. We also prove that the class of nonautonomous linear dynamical systems that are weakly mixing of order $n$ contains strictly the corresponding class with the weak mixing property of order $n+1$.
PB Elsevier
SN 0893-9659
YR 2013
FD 2013
LK http://hdl.handle.net/10498/35568
UL http://hdl.handle.net/10498/35568
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026