On the class of norm limits of nilpotents
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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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Additional Information
- Vasile Lauric
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- Email: lauric@math.tamu.edu
- Received by editor(s): January 30, 1996
- Received by editor(s) in revised form: June 26, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3371-3379
- MSC (1991): Primary 47A15, 47A65
- DOI: https://doi.org/10.1090/S0002-9939-97-04012-4
- MathSciNet review: 1415349