TY - JOUR
TI - Powers of Convex-Cyclic Operators
VL - 2014
PY - 2014
DA - 2014/05/08
DO - 10.1155/2014/631894
UR - https://doi.org/10.1155/2014/631894
AB - 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).
JF - Abstract and Applied Analysis
SN - 1085-3375
PB - Hindawi Publishing Corporation
SP - 631894
KW -
A2 - Maestre, Manuel
AU - León-Saavedra, Fernando
AU - Romero-de la Rosa, María del Pilar
ER -