2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222820We 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 $V$.Submitted to LMSDynamical SystemsFunctional Analysis47A16; 37A25text