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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

The closure of the similarity orbit of a Hilbert space operator

Author(s): Constantin Apostol; Domingo A. Herrero; 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 | Similar articles | Additional information

References:

1.
C. Apostol, Correction by compact perturbations of the singular behavior of operators, Rev. Roumaine Math. Pures Appl. 21 (1976), 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C. Apostol and D. Voiculescu, Closure of similarity orbits of nilpotent operators (preprint, not for publication), 1977.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 II (preprint, not for publication), 1977.
4.
D. A. Herrero, The distance to a similarity-invariant set of operators (preprint), 1981. MR 646884
5.
T. Kato, Perturbation theory for linear operators, Springer-Verlag, New York, 1966. MR 203473
6.
F. Riesz and B. Sz.-Nagy, Functional analysis, Ungar, New York, 1955. MR 71727

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Additional Information:

DOI: 10.1090/S0273-0979-1982-15007-8
PII: S 0273-0979(1982)15007-8




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