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On smooth norms and analytic sets

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Abstract

LetX be a Banach space which isn’t reflexive but has a separable dual. ThenX admits a smooth norm so that the set of norm-attaining functionals is a complete analytic set. A variant of Asplund’s average norms is used.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 West Green Street, 61801, Urbana, IL, USA

    Robert Kaufman

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  1. Robert Kaufman
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Correspondence to Robert Kaufman.

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Kaufman, R. On smooth norms and analytic sets. Isr. J. Math. 116, 21–27 (2000). https://doi.org/10.1007/BF02773210

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  • DOI: https://doi.org/10.1007/BF02773210

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