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Abstract and Applied Analysis - Volume 2014 2014, Article ID 631894, 3 pages -

Research Article

Department of Mathematics, University of Cádiz, Campus de Jerez de la Frontera, Cádiz, 11405 Jerez de la Frontera, Spain

IES Sofía, Doctor Marañón 13, Cádiz, 11407 Jerez de la Frontera, Spain

Received 21 January 2014; Revised 15 April 2014; Accepted 16 April 2014; Published 8 May 2014

Academic Editor: Manuel Maestre

Copyright © 2014 Fernando León-Saavedra and María del Pilar Romero-de la Rosa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.





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

Fuente: https://www.hindawi.com/



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