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Powers of Convex-Cyclic Operators

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

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).

Suggested Citation

  • Fernando León-Saavedra & María del Pilar Romero-de la Rosa, 2014. "Powers of Convex-Cyclic Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-3, May.
    • Handle: RePEc:hin:jnlaaa:631894
    DOI: 10.1155/2014/631894
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