On class A operators

Sungeun Jung, K. O. Eungil, L. E.E. Mee-Jung

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.

Original languageEnglish
Pages (from-to)249-260
Number of pages12
JournalStudia Mathematica
Issue number3
StatePublished - 2010


  • Class a operator
  • Invariant subspace
  • Nonhypertransitive
  • Scalar extension


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