%0 Journal Article %A Gallardo Gutiérrez, Eva Antonia %A Montes Rodríguez, Alfonso %T The Volterra operator is not supercyclic %D 2004 %@ 0378-620X %U https://hdl.handle.net/20.500.14352/50611 %X 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]. %~