2026-06-29T09:29:10Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/504632025-04-08T14:43:26Zcom_20.500.14352_14col_20.500.14352_15
Powers of hypercyclic functions for some classical hypercyclic operators
Aron, Richard M.
Conejero, Jose A.
Seoane Sepúlveda, Juan Benigno
517.98
Hypercyclic vectors
Universal functions.
Análisis funcional y teoría de operadores
We show that no power of any entire function is hypercyclic for Birkhoff's translation operator on H(C). On the other hand, we see that the set of functions whose powers are all hypercyclic for MacLane's differentiation operator is a G(delta)-dense subset of H(C).
GVA
MEC and FEDER
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
Instituto de Matemática Interdisciplinar (IMI)
TRUE
pub
2023-06-20T10:33:08Z
2023-06-20T10:33:08Z
2007
journal article
https://hdl.handle.net/20.500.14352/50463
0378-620X
10.1007/s00020-007-1490-4
eng
CTESPP/2005.
MTM2004-02262
MTM2006-26627-E.
restricted access
application/pdf
Birkhauser Verlag