Continuity of the spectrum and spectral radius
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- by Gerard J. Murphy PDF
- Proc. Amer. Math. Soc. 82 (1981), 619-621 Request permission
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
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Additional Information
- © Copyright 1981 American Mathematical Society
- 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