Operators commuting with the Volterra operator are not weakly supercyclic

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dc.creatorShkarin, Stanislav
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:53Z
dc.date.available2026-07-07T12:50:53Z
dc.descriptionWe prove that any bounded linear operator on $L_p[0,1]$ for $1\leq p<\infty$, commuting with the Volterra operator $V$, is not weakly supercyclic, which answers affirmatively a question raised by Léon-Saavedra and Piqueras-Lerena. It is achieved by providing an algebraic flavored condition on an operator which prevents it from being weakly supercyclic and is satisfied for any operator commuting with $V$.
dc.descriptionSubmitted to LMS
dc.identifierhttps://arxiv.org/abs/0903.1752
dc.identifierhttp://arxiv.org/abs/0903.1752
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222820
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.subject47A16; 37A25
dc.titleOperators commuting with the Volterra operator are not weakly supercyclic
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