Some connections between an operator and its Helton class

Insook Kim, Yoenha Kim, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)1235-1240
Number of pages6
JournalJournal of Mathematical Analysis and Applications
Volume340
Issue number2
DOIs
StatePublished - 15 Apr 2008

Keywords

  • Helton class
  • p-Hyponormal operators
  • Subscalar operators

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