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).
Citation
Fernando León-Saavedra. María del Pilar Romero-de la Rosa. "Powers of Convex-Cyclic Operators." Abstr. Appl. Anal. 2014 (SI20) 1 - 3, 2014. https://doi.org/10.1155/2014/631894