Class a operators and their extensions

Sungeun Jung, Eungil Ko

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper, we study various properties of analytic extensions of class A operators. In particular, we show that every analytic extension of a class A operator has a scalar extension. As a corollary, we get that such an operator with rich spectrum has a nontrivial invariant subspace.

Original languageEnglish
Pages (from-to)167-182
Number of pages16
JournalOperators and Matrices
Issue number1
StatePublished - Mar 2013


  • Class A operators
  • Invariant subspaces
  • Subscalar operators
  • Weyl's theorem


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