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Spectra in quasi-Banach algebras

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1332)

Abstract

The set of invertible elements in a quasi-Banach algebra is pseudo-convex. The spectrum of a holomorphic function taking values in a quasi-Banach algebra is an analytic multi-valued function.

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References

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© 1988 Springer-Verlag Berlin Heidelberg

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Dilworth, S.J., Ransford, T.J. (1988). Spectra in quasi-Banach algebras. In: Odell, E.W., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081619

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  • DOI: https://doi.org/10.1007/BFb0081619

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50018-6

  • Online ISBN: 978-3-540-45892-0

  • eBook Packages: Springer Book Archive