TY - JOUR
AU - BermÃºdez, T.
AU - Bonilla, A.
AU - Conejero, J.A.
AU - Peris, A.
T1 - Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
LA - eng
PY - 2005
SP - 57
EP - 75
T2 - Studia Mathematica
SN - 0039-3223
VL - 170
IS - 1
PB - Instytut Matematyczny
AB - Our aim in this paper is to prove that every separable infinite-dimensional complex Banach space admits a topologically mixing holomorphic uniformly continuous semigroup and to characterize the mixing property for semigroups of operators. A concrete characterization of being topologically mixing for the translation semigroup on weighted spaces of functions is also given. Moreover, we prove that there exists a commutative algebra of operators containing both a chaotic operator and an operator which is not a multiple of the identity and no multiple of which is chaotic. This gives a negative answer to a question of deLaubenfels and Emamirad.
DO - 10.4064/sm170-1-3
UR - https://portalciencia.ull.es/documentos/608ab72d1c42383529deb6ae
DP - Dialnet - Portal de la InvestigaciÃ³n
ER -