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On the class of norm limits of nilpotents
Authors:Vasile Lauric
Institution:Department of Mathematics, Texas A&M University, College Station, Texas 77843
Abstract:It is known that every operator on a Hilbert space $\mathcal {H}$ whose invariant subspace lattice is possibly $\{(0),\mathcal {H}\}$ is a norm-limit of a sequence of nilpotent operators. In this note we study properties of such approximating sequences.

Keywords:Sequences of nilpotents  invariant subspaces
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