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Proceedings of the American Mathematical Society

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Continuity of the spectrum and spectral radius


Author: Gerard J. Murphy
Journal: Proc. Amer. Math. Soc. 82 (1981), 619-621
MSC: Primary 46H20; Secondary 47A10, 47A12
DOI: https://doi.org/10.1090/S0002-9939-1981-0614889-2
MathSciNet review: 614889
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $ A$ be a Banach algebra containing an element $ x$. Topological conditions on the spectrum of $ x$ are given which are necessary and sufficient to ensure the continuity of the spectrum or spectral radius at $ x$.


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

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0614889-2
Article copyright: © Copyright 1981 American Mathematical Society

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