Weighted shift operators on lp spaces.

Lucas Jódar

Stochastica (1986)

  • Volume: 10, Issue: 1, page 29-54
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Jódar, Lucas. "Weighted shift operators on lp spaces.." Stochastica 10.1 (1986): 29-54. <http://eudml.org/doc/38943>.

@article{Jódar1986,
abstract = {The analytic-spectral structure of the commutant of a weighted shift operator defined on a lp space (1 ≤ p &lt; ∞) 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 &lt; ∞) 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 -

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