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.
|Number of pages||6|
|Journal||Journal of Mathematical Analysis and Applications|
|State||Published - 15 Apr 2008|
- Helton class
- p-Hyponormal operators
- Subscalar operators