Operators with a compact imaginary part Academic Article uri icon


  • In this note we initiate a study of the old unsolved problem whether every T ∈ ℒ(ℋ)of the form T = H + iK with K compact has a nontrivial invariant subspace, using [6] as our main tool. In case ≥0 we obtain some positive results. Indiana University Mathematics Journal © 2009.

author list (cited authors)

  • Foias, C., Hamid, S., Onica, C., & Pearcy, C.

citation count

  • 1

publication date

  • January 2009