On Analytic Roots of Hyponormal Operators

Sungeun Jung, Eungil Ko

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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
Issue number5
StatePublished - 1 Oct 2017


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


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