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


A bounded operator T on a Banach space X is convex cyclic if there exists a vector x such that the convex hull generated by the orbit T n x n 0 is dense in X . In this note we study some questions concerned with convex-cyclic operators. We provide an example of a convex-cyclic operator T such that the power T n fails to be convex cyclic. Using this result we solve three questions posed by Rezaei (2013).


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Fernando León-Saavedra. María del Pilar Romero-de la Rosa. "Powers of Convex-Cyclic Operators." Abstr. Appl. Anal. 2014 (SI20) 1 - 3, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022782
MathSciNet: MR3208553
Digital Object Identifier: 10.1155/2014/631894

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI20 • 2014
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