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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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).

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A53

Retrieve articles in all journals with MSC: 47A53

Additional Information

Keywords: Ascent, descent, semi-Fredholm
Article copyright: © Copyright 1995 American Mathematical Society