TY - JOUR
A2 - Maestre, Manuel
AU - León-Saavedra, Fernando
AU - Romero-de la Rosa, María del Pilar
PY - 2014
DA - 2014/05/08
TI - Powers of Convex-Cyclic Operators
SP - 631894
VL - 2014
AB - 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 Tnxn≥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 Tn fails to be convex cyclic. Using this result we solve three questions posed by Rezaei (2013).
SN - 1085-3375
UR - https://doi.org/10.1155/2014/631894
DO - 10.1155/2014/631894
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -