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Automatic continuity conditions for a linear mapping from a banach algebra onto a semi-simple Banach algebra

III. Automatic Continuity For Homomorphisms And Derivations

Part of the Lecture Notes in Mathematics book series (LNM,volume 975)

Keywords

  • Spectral Radius
  • Banach Algebra
  • Jordan Algebra
  • Invertible Element
  • Automatic Continuity

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References

  1. B. Aupetit, Propriétés spectrales des algèbres de Banach, Lecture Notes in Mathematics 735 (Springer-Verlag, Berlin, 1979).

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  2. _____, Une généralisation du théorème de Gleason-Kahane-Żelazko pour les algèbres de Banach, Pacific J. Math., 85 (1979), 11–17.

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  3. _____, The uniqueness of the complete norm topology in Banach algebras and Banach Jordan algebras, J. Functional Analysis, to appear.

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  4. H. G. Dales, Automatic continuity: a survey, Bull. London Math. Soc., 10 (1978), 129–183.

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  5. A. M. Sinclair, Automatic Continuity of Linear Operators, Cambridge University Press, Cambridge, 1976.

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© 1983 Springer-Verlag

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Aupetit, B. (1983). Automatic continuity conditions for a linear mapping from a banach algebra onto a semi-simple Banach algebra. In: Bachar, J.M., Bade, W.G., Curtis, P.C., Dales, H.G., Thomas, M.P. (eds) Radical Banach Algebras and Automatic Continuity. Lecture Notes in Mathematics, vol 975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064564

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  • DOI: https://doi.org/10.1007/BFb0064564

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11985-2

  • Online ISBN: 978-3-540-39454-9

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