On the localization of the spectrum for systems of operators
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- by Ştefan Frunză PDF
- Proc. Amer. Math. Soc. 69 (1978), 233-239 Request permission
Abstract:
Let $a = ({a_1}, \ldots ,{a_n})$ be a commuting system of linear continuous operators on a complex Banach space X. We show that, for any $x \in X$, the local analytic spectrum $\sigma (a,x)$ [1] is contained in the spectral hull of the local spectrum ${\text {sp}}(a,x)$ [4].References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 233-239
- MSC: Primary 47A10; Secondary 47A60, 47B40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0477810-6
- MathSciNet review: 0477810