Publication: The Volterra operator is not supercyclic
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Publication Date
2004
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Birkhauser Verlag
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Abstract
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].