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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
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