Powers of Convex-Cyclic Operators

Fernando León-Saavedra and María del Pilar Romero- de la Rosa

Abstract and Applied Analysis, 2014, vol. 2014, 1-3

Abstract:

A bounded operator on a Banach space is convex cyclic if there exists a vector such that the convex hull generated by the orbit is dense in . In this note we study some questions concerned with convex-cyclic operators. We provide an example of a convex-cyclic operator such that the power fails to be convex cyclic. Using this result we solve three questions posed by Rezaei (2013).

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:631894

DOI: 10.1155/2014/631894

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