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The Volterra operator is not supercyclic

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Gallardo Gutiérrez, Eva A. and Montes Rodríguez, Alfonso (2004) The Volterra operator is not supercyclic. Integral Equations and Operator Theory, 50 (2). pp. 211-216. ISSN 0378-620X

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Official URL: http://link.springer.com/content/pdf/10.1007%2Fs00020-003-1227-y.pdf




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].


Item Type:Article
Uncontrolled Keywords:Orbits
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:21107
Deposited On:26 Apr 2013 08:54
Last Modified:10 Aug 2018 11:36

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