In this paper a class of injective unilateral weighted shift operators is introduced which contains strictly the class of the strictly cyclic operators and which can only be unicellular if they are quasinilpotent.
@article{urn:eudml:doc:38896,
title = {Una nota sobre cuasinilpotencia y unicelularidad de los operadores desplazamiento ponderados.},
journal = {Stochastica},
volume = {7},
year = {1983},
pages = {169-172},
zbl = {0561.47028},
mrnumber = {MR0766700},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38896}
}
Jódar, Lucas. Una nota sobre cuasinilpotencia y unicelularidad de los operadores desplazamiento ponderados.. Stochastica, Tome 7 (1983) pp. 169-172. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38896/