The closure of the similarity orbit of a Hilbert space operator
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- by Constantin Apostol, Domingo A. Herrero and Dan Voiculescu PDF
- Bull. Amer. Math. Soc. 6 (1982), 421-426
References
- Constantin Apostol, The correction by compact perturbation of the singular behavior of operators, Rev. Roumaine Math. Pures Appl. 21 (1976), no. 2, 155–175. MR 487559 2. C. Apostol and D. Voiculescu, Closure of similarity orbits of nilpotent operators (preprint, not for publication), 1977. 3. J. Barria and D. A. Herrero, Closure of similarity orbits of nilpotent operators. II (preprint, not for publication), 1977.
- Domingo A. Herrero, The distance to a similarity-invariant set of operators, Integral Equations Operator Theory 5 (1982), no. 1, 131–140. MR 646884, DOI 10.1007/BF01694034
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
Additional Information
- Journal: Bull. Amer. Math. Soc. 6 (1982), 421-426
- MSC (1980): Primary 47A66, 47A99; Secondary 47A53, 47A55
- DOI: https://doi.org/10.1090/S0273-0979-1982-15007-8
- MathSciNet review: 648526