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On the class of norm limits of nilpotents

Author(s): Vasile Lauric
Journal: Proc. Amer. Math. Soc. 125 (1997), 3371-3379.
MSC (1991): Primary 47A15, 47A65
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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.

References:

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