Cyclic behaviour of Volterra composition operators
Data(s) |
01/09/2011
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Resumo |
We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,<br/>where $?$ is a measurable self-map of [0, 1]. The cyclic behaviour of $V_\phi$ is essentially determined by the behaviour of the inducing symbol $\phi$ at 0 and at 1. As a particular result, we provide new examples of quasinilpotent supercyclic operators, which extend and complement previous ones of Hector Salas. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/restrictedAccess |
Fonte |
Shkarin , S , Montes-Rodriguez , A & Rodriguez-Martinez , A 2011 , ' Cyclic behaviour of Volterra composition operators ' Proceedings of the London Mathematical Society , vol 103 , no. 3 , pp. 535–562 . DOI: 10.1112/plms/pdq039 |
Palavras-Chave | #/dk/atira/pure/subjectarea/asjc/2600 #Mathematics(all) |
Tipo |
article |