A holomorphic characterization of compact sets in Banach spaces |
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Authors: | Humberto Carrión Pablo Galindo Mary Lilian Lourenço |
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Abstract: | An extension of Lempert’s result about non approximability by entire functions of analytic functions on some open subsets of ?∞ is obtained for Banach spaces having a bounding non relatively compact set.We also prove that subsets A that are bounding for analytic functions defined in any of its neighborhoodswhose boundary lies at positive distance from A are relatively compact. |
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