Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621187 | Journal of Mathematical Analysis and Applications | 2008 | 6 Pages |
Abstract
In this paper we show that the nilpotent perturbation of operators in the Helton class of p-hyponormal operators has scalar extensions. As a corollary we get that the nilpotent perturbation of each operator in the Helton class of p-hyponormal operators has a nontrivial invariant subspace if its spectrum has nonempty interior in the plane.
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Physical Sciences and Engineering
Mathematics
Analysis