Operators with a compact imaginary part
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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  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.