Article ID Journal Published Year Pages File Type
4621187 Journal of Mathematical Analysis and Applications 2008 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis