We study the relation between the sets of cyclic vectors of an unilateral bounded below weighted shift operator T and T|S where S is an invariant subspace of T. It is proved that T can not be unicellular and known results are generalized.
@article{urn:eudml:doc:38911,
title = {Sobre los operadores desplazamiento ponderados sub-acotados.},
journal = {Stochastica},
volume = {8},
year = {1984},
pages = {283-290},
zbl = {0587.47038},
mrnumber = {MR0796655},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38911}
}
Jódar, Lucas. Sobre los operadores desplazamiento ponderados sub-acotados.. Stochastica, Tome 8 (1984) pp. 283-290. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38911/