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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

The closure of the similarity orbit of a Hilbert space operator


Authors: Constantin Apostol, Domingo A. Herrero and Dan Voiculescu
Journal: Bull. Amer. Math. Soc. 6 (1982), 421-426
MSC (1980): Primary 47A66, 47A99; Secondary 47A53, 47A55
MathSciNet review: 648526
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References [Enhancements On Off] (What's this?)

  • 1. 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 0487559 (58 #7180)
  • 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 C. Apostol and D. Voiculescu, Closure of similarity orbits of nilpotent operators (preprint, not for publication), 1977.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 II (preprint, not for publication), 1977.
  • 4. Domingo A. Herrero, The distance to a similarity-invariant set of operators, Integral Equations Operator Theory 5 (1982), no. 1, 131–140. MR 646884 (83m:47021), http://dx.doi.org/10.1007/BF01694034
  • 5. Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473 (34 #3324)
  • 6. Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727 (17,175i)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1982-15007-8
PII: S 0273-0979(1982)15007-8