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.
Original language | English |
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Pages (from-to) | 1235-1240 |
Number of pages | 6 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 340 |
Issue number | 2 |
DOIs | |
State | Published - 15 Apr 2008 |
Keywords
- Helton class
- p-Hyponormal operators
- Subscalar operators