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Resumen de Weighted shift operators on lp spaces.

Lucas Antonio Jódar Sánchez

  • The analytic-spectral structure of the commutant of a weighted shift operator defined on a lp space (1 = p < 8) 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.


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