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A note on holomorphic approximation in Banach spaces

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Abstract

Given a complex Banach space X and a holomorphic function f on its unit ball B, we discuss the problem whether f can be approximated, uniformly on smaller balls, by functions g holomorphic on all of X.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, 47907-1395, USA

    László Lempert

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  1. László Lempert
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Correspondence to László Lempert.

Additional information

[Communicated by Mária B. Szendrei]

Research partially supported by NSF grant DMS0700281.

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Lempert, L. A note on holomorphic approximation in Banach spaces. Period Math Hung 56, 241–245 (2008). https://doi.org/10.1007/s10998-008-6241-y

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  • DOI: https://doi.org/10.1007/s10998-008-6241-y

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