## A short proof concerning the invariant subspace problem.(English)Zbl 0664.47006

An example of an operator on the space $$\ell^ 1$$ is constructed that has no invariant subspace other than $$\{$$ $$0\}$$ and $$\ell^ 1$$. This operator is a nuclear perturbation of a weighted shift.
Reviewer: V.V.Peller

### MSC:

 47A15 Invariant subspaces of linear operators
Full Text: