RT Journal Article
T1 The Volterra operator is not supercyclic
A1 Gallardo Gutiérrez, Eva Antonia
A1 Montes Rodríguez, Alfonso
AB It is shown that the classical Volterra operator, which is cyclic, is not supercyclic on any of the spaces L-p[0, 1], 1 less than or equal to p < infinity. This solves a question posed by Hector Salas. This contrasts with the fact that the derivative operator, the left inverse of the Volterra operator, although unbounded, is hypercyclic on L-p[0, 1].
PB Birkhauser Verlag
SN 0378-620X
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50611
UL https://hdl.handle.net/20.500.14352/50611
LA eng
NO Gallardo Gutiérrez, E. A. & Montes Rodríguez, A. «The Volterra Operator Is Not Supercyclic». Integral Equations and Operator Theory, vol. 50, n.o 2, octubre de 2004, pp. 211-16. DOI.org (Crossref), https://doi.org/10.1007/s00020-003-1227-y.
NO Plan Nacional I+D
NO Junta de Andalucía
NO Universidad de Cádiz
DS Docta Complutense
RD 9 abr 2025