On quasinilpotent operators

Il Bong Jung, Eungil Ko, Carl Pearcy

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


In this note we modify a new technique of Enflo for producing hyperinvariant subspaces to obtain a much improved version of his "two sequences" theorem with a somewhat simpler proof. As a corollary we get a proof of the "best" theorem (due to V. Lomonosov) known about hyperinvariant subspaces for quasinilpotent operators that uses neither the Schauder-Tychonoff fixed point theorem nor the more recent techniques of Lomonosov.

Original languageEnglish
Pages (from-to)2121-2127
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number7
StatePublished - Jul 2003


  • Enflo technique
  • Extremal vectors
  • Invariant subspaces


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