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Biholomorphic Functions in Dual Banach Spaces

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Abstract

We present an infinite-dimensional version of Cartan-Carathéodory-Kaup-Wu theorem about the analyticity of the inverse of a given analytic mapping. It is valid for a class of domains in separable Banach dual spaces that includes all bounded convex domains.

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Authors and Affiliations

  1. Departamento de Matemática-Universidade de São Paulo, CP 66281, CEP 0535-970, São Paulo, Brazil

    Humberto Carrión & Mary Lilian Lourenço

  2. Departamento de Análisis Matemático, Universidad deValencia, 46.100, Burjasot, Valencia, Spain

    Pablo Galindo

Authors
  1. Humberto Carrión
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  2. Pablo Galindo
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  3. Mary Lilian Lourenço
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Corresponding author

Correspondence to Pablo Galindo.

Additional information

Communicated by Olof Staffans.

P. Galindo was supported partially by Project MTM 2007-064521, MEC-FEDER (Spain), by Project CNPq 472362/2007-0 (Brazil) and agreement Universidade São Paulo-Universidad de Valencia.

L. Lourenço was partially supported by Project CNPq 472362/2007-0.

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Carrión, H., Galindo, P. & Lourenço, M.L. Biholomorphic Functions in Dual Banach Spaces. Complex Anal. Oper. Theory 7, 107–114 (2013). https://doi.org/10.1007/s11785-011-0142-5

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  • DOI: https://doi.org/10.1007/s11785-011-0142-5

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