Title of article
Some connections between an operator and its Helton class ✩
Author/Authors
Insook Kim، نويسنده , , Yoenha Kim، نويسنده , , EUNGIL KO، نويسنده , , Ji-Eun Lee، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
6
From page
1235
To page
1240
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.
© 2007 Elsevier Inc. All rights reserved
Keywords
Subscalar operators , p-Hyponormal operators , Helton class
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936825
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