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Spectra in quasi-Banach algebras

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Book cover Functional Analysis

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

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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

  1. N.J. Kalton. Analytic functions in non-locally convex spaces and applications, Studia Math., 33 (1986), 275–303.

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  3. T.J. Ransford. “Analytic Multivalued Functions”, Ph.D. dissertation, University of Cambridge, 1984.

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Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Texas at Austin, 78712, Austin, Texas, U.S.A.

    S. J. Dilworth

  2. Department of Mathematics, The University of Leeds, LS2 9JT, Leeds, England

    T. J. Ransford

Authors
  1. S. J. Dilworth
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  2. T. J. Ransford
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Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Texas at Austin, Austin, TX, 78712, USA

    Edward W. Odell Jr.  & Haskell P. Rosenthal  & 

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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

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