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/