FINITE RANK PERTURBATION OF 2-HYPONORMAL WEIGHTED SHIFTS
In this paper, we consider a 2-hyponormal weighted shift with a strictly increasing positive weight sequence We give sufficient conditions under which a rank one perturbation of in any of the weights, will again be 2-hyponormal. We also give a new proof for the already known result that finite rank perturbations of will be quadratically hyponormal.
finite rank perturbation, quadratic hyponormality, 2-hyponormality.
