On Analytic Roots of Hyponormal Operators

Sungeun Jung, Eungil Ko

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we provide a condition under which analytic roots of hyponormal operators (defined below) have scalar extensions. As an application, we show that such analytic roots of hyponormal operators have nontrivial hyperinvariant subspaces. We also give some structures for analytic roots of hyponormal operators. Finally, we verify that the product of some analytic root of a hyponormal operator and an algebraic operator which are commuting is subscalar.

Original languageEnglish
Article number199
JournalMediterranean Journal of Mathematics
Volume14
Issue number5
DOIs
StatePublished - 1 Oct 2017

Keywords

  • Analytic roots of hyponormal operators
  • invariant subspaces
  • subscalar operators

Fingerprint

Dive into the research topics of 'On Analytic Roots of Hyponormal Operators'. Together they form a unique fingerprint.

Cite this