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The analytic-spectral structure of the commutant of a weighted shift operator defined on a lp space (1 ≤ p < ∞) is studied. The cases unilateral, bilateral and quasinilpotent are treated. We apply the results to study certain questions related to unicellularity, strictly cyclicity and the existence of hyperinvariant subspaces.
@article{Jódar1986, abstract = {The analytic-spectral structure of the commutant of a weighted shift operator defined on a lp space (1 ≤ p < ∞) is studied. The cases unilateral, bilateral and quasinilpotent are treated. We apply the results to study certain questions related to unicellularity, strictly cyclicity and the existence of hyperinvariant subspaces.}, author = {Jódar, Lucas}, journal = {Stochastica}, keywords = {Operadores desplazamiento; Espacio de sucesiones; Espectros; analytic-spectral structure of the commutant of a weighted shift operator; unicellularity; strictly cyclicity; existence of hyperinvariant subspaces}, language = {eng}, number = {1}, pages = {29-54}, title = {Weighted shift operators on lp spaces.}, url = {http://eudml.org/doc/38943}, volume = {10}, year = {1986}, }
TY - JOUR AU - Jódar, Lucas TI - Weighted shift operators on lp spaces. JO - Stochastica PY - 1986 VL - 10 IS - 1 SP - 29 EP - 54 AB - The analytic-spectral structure of the commutant of a weighted shift operator defined on a lp space (1 ≤ p < ∞) is studied. The cases unilateral, bilateral and quasinilpotent are treated. We apply the results to study certain questions related to unicellularity, strictly cyclicity and the existence of hyperinvariant subspaces. LA - eng KW - Operadores desplazamiento; Espacio de sucesiones; Espectros; analytic-spectral structure of the commutant of a weighted shift operator; unicellularity; strictly cyclicity; existence of hyperinvariant subspaces UR - http://eudml.org/doc/38943 ER -