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

 

Perturbations by nilpotent operators on Hilbert space


Authors: Arlen Brown, Carl Pearcy and Norberto Salinas
Journal: Proc. Amer. Math. Soc. 41 (1973), 530-534
MSC: Primary 47A55
MathSciNet review: 0374955
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Abstract: If $ T$ is any noncompact, bounded, linear operator on a separable Hilbert space $ H$, then there exists a nilpotent (bounded, linear) operator $ N$ on $ H$ such that $ N + T$ is invertible.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0374955-1
PII: S 0002-9939(1973)0374955-1
Article copyright: © Copyright 1973 American Mathematical Society