Triangular truncation and normal limits of nilpotent operators
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- by Don Hadwin PDF
- Proc. Amer. Math. Soc. 123 (1995), 1741-1745 Request permission
Abstract:
We show that, as $n \to \infty$, the product of the norm of the triangular truncation map on the $n \times n$ complex matrices with the distance from the norm-one hermitian $n \times n$ matrices to the nilpotents converges to 1/2. We also include an elementary proof of D. Herrero’s characterization of the normal operators that are norm limits of nilpotents.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1741-1745
- MSC: Primary 47A58; Secondary 15A60, 47A30, 47A65
- DOI: https://doi.org/10.1090/S0002-9939-1995-1257109-0
- MathSciNet review: 1257109