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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Semi-Fredholm operators with finite ascent or descent and perturbations


Author: Vladimir Rakočević
Journal: Proc. Amer. Math. Soc. 123 (1995), 3823-3825
MSC: Primary 47A53
MathSciNet review: 1286004
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Abstract: In this note we prove that the collection of upper (lower) semi-Fredholm operators with finite ascent (descent) is closed under commuting operator perturbations that belong to the perturbation class associated with the set of upper (lower) semi-Fredholm operators. Then, as a corollary we get the main result of S. Grabiner (Proc. Amer. Math. Soc. 71 (1978), 79-80).


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1286004-6
PII: S 0002-9939(1995)1286004-6
Keywords: Ascent, descent, semi-Fredholm
Article copyright: © Copyright 1995 American Mathematical Society