Inherited properties through the helton class of an operator

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

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this paper we show that Helton class preserves the nilpotent and finite ascent properties. Also, we show some relations on nontransitivity and decomposability between operators and their Helton classes. Finally, we give some applications in the Helton class of weighted shifts.

Original languageEnglish
Pages (from-to)183-195
Number of pages13
JournalBulletin of the Korean Mathematical Society
Issue number1
StatePublished - Jan 2011


  • Decomposability
  • Essential spectra
  • Helton class
  • Nilpotent property finite ascent property


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