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On bounded sets of holomorphic mappings

Part of the Lecture Notes in Mathematics book series (LNM,volume 364)

Keywords

  • Holomorphic Mapping
  • Neighborhood Versus
  • Closed Unit Ball
  • Baire Space
  • Compact Closure

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Bibliography

  1. J. A. Barroso, Topologias nos espaços de aplicações holomorfas entre espacos localmente convexos, Anais da Academia Brasileira de Ciências 43(1971), 527–546.

    MathSciNet  Google Scholar 

  2. J. A. Barroso and L. Nachbin, Sur certaines propriétés bornologiques des espaces d'applications holomorphes, Troisième Colloque sur l'Analyse Fonctionnelle, Liège 1970, Centre Belge de Recherches Mathématiques, Vander, Belgium (1971), 47–55.

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  3. S. Dineen, Unbounded holomorphic functions on a Banach space, Journal of the London Mathematical Society 4(1972), 461–465.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. S. Dineen, Holomorphic functions on locally convex topological vector spaces, Annales de l'Institut Fourier, to appear in two parts.

    Google Scholar 

  5. L. Nachbin, On the topology of the space of all holomorphic functions on a given open set, Indagationes Mathematicae 29(1967), 366–368.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. L. Nachbin, Topology on spaces of holomorphic mappings, Springer-Verlag, Germany (1969).

    CrossRef  MATH  Google Scholar 

  7. L. Nachbin, Sur les espaces vectorielles topologiques d'applications continues, Comptes Rendus de l'Académie des Sciences de Paris 271(1970), 596–598.

    MathSciNet  MATH  Google Scholar 

  8. L. Nachbin, Concerning spaces of holomorphic mappings, Rutgers University, USA (1970).

    MATH  Google Scholar 

  9. L. Nachbin, Recent developments in infinite dimensional holomorphy, Bulletin of the American Mathematical Society 79(1973), to appear.

    Google Scholar 

  10. Ph. Noverraz, Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie, North-Holland, Netherlands (1973).

    MATH  Google Scholar 

  11. G. Coeuré, Analytic functions and manifolds in infinite dimensional spaces, North-Holland, Netherlands, to appear.

    Google Scholar 

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© 1974 Springer-Verlag Berlin

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Barroso, J.A., Matos, M.C., Nachbin, L. (1974). On bounded sets of holomorphic mappings. In: Hayden, T.L., Suffridge, T.J. (eds) Proceedings on Infinite Dimensional Holomorphy. Lecture Notes in Mathematics, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069011

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  • DOI: https://doi.org/10.1007/BFb0069011

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06619-4

  • Online ISBN: 978-3-540-37915-7

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