LÁSZLÓ ZSIDÓ, INVARIANT SUBSPACES OF COMPACT PERTURBATIONS OF LINEAR OPERATORS IN BANACH SPACES, Journal of Operator Theory, Vol. 1, No. 2 (Spring 1979), pp. 225-260 Free online reading for over 10 ...

We characterize all such algebras: if a matrix algebra A does not share invariant subspaces with its commutant, then it must be similar to an amplification of a full matrix algebra. Then, we show that ...