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A Montel Theorem for Holomorphic Functions on Infinite Dimensional Spaces that Omit the Values 0 and 1

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Abstract

Let X be a connected complex Banach manifold. We give a proof that the set of holomorphic functions on X that omit the values 0 and 1 is a normal family.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, 14853-4201, USA

    Clifford J. Earle

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  1. Clifford J. Earle
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Correspondence to Clifford J. Earle.

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Earle, C.J. A Montel Theorem for Holomorphic Functions on Infinite Dimensional Spaces that Omit the Values 0 and 1. Comput. Methods Funct. Theory 8, 195–198 (2008). https://doi.org/10.1007/BF03321682

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  • DOI: https://doi.org/10.1007/BF03321682

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