RT Journal Article
T1 The role of the angle in supercyclic behavior
A1 Gallardo Gutiérrez, Eva Antonia
A1 Montes Rodríguez, Alfonso
AB A bounded operator T acting on a Hilbert space H is said to be supercyclic if there is a vector f epsilon H such that the projective orbit {lambdaT(n)f: ngreater than or equal to0 and lambda epsilon C} is dense in H. We use a new method based on a very simple geometric idea that allows us to decide whether an operator is supercyclic or not. The method is applied to obtain the following result: A composition operator acting on the Hardy space whose inducing symbol is a parabolic linear-fractional map of the disk onto a proper subdisk is not supercyclic. This result finishes the characterization of the supercyclic behavior of composition operators induced by linear fractional maps and, thus, completes previous work of Bourdon and Shapiro.
PB Elsevier
SN 0022-1236
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/58434
UL https://hdl.handle.net/20.500.14352/58434
LA eng
NO Gallardo Gutiérrez, E. A., & Montes Rodríguez, A. «The Role of the Angle in Supercyclic Behavior». Journal of Functional Analysis, vol. 203, n.o 1, septiembre de 2003, pp. 27-43. DOI.org (Crossref), https://doi.org/10.1016/S0022-1236(02)00042-3.
NO Plan Nacional I+D
NO Junta de Andalucía
NO Universidad de Cádiz
DS Docta Complutense
RD 22 mar 2026