Hypercyclicity for the Elements of the Commutant of an Operator

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URI: http://hdl.handle.net/10902/8000
ISSN: 0378-620X
ISSN: 1420-8989
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Author
González Ortiz, ManuelAutoridad Unican; León Saavedra, Fernando
Date
2014
Derechos
© Springer The final publication is available at Springer via http://dx.doi.org/ 10.1007/s00020-014-2129-x
Publicado en
Integral Equations and Operator Theory 80 (2), pp. 265-274
Publisher
Birkhauser Verlag AG
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Palabras clave
Composition operator
Hypercyclic commutant
Hypercyclic operator
Cesàro operator
Abstract:
ABSTRACT:Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T different from ?I has a hypercyclic multiple, and we show several examples of operators satisfying this condition. We emphasize that for some of these examples we do not have a description of the commutant of T.
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