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Antipodal pairs and the geometry of Banach spaces

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Abstract

In this paper we define and study, in Banach spaces, a new function. We indicate a few relations with some geometric properties of the space (such as uniform convexity) and we calculate the expression of that function in some classical spaces.

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Authors and Affiliations

  1. Istituto Matematico di Ingegneria, Pad. D P.zzale Kennedy, 16100, Genova

    M. Baronti

  2. Dipartimento di Matematica, Piazza Porta S. Donato 5, I-40127, Bologna

    E. Casini & P. L. Papini

Authors
  1. M. Baronti
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  2. E. Casini
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  3. P. L. Papini
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Baronti, M., Casini, E. & Papini, P.L. Antipodal pairs and the geometry of Banach spaces. Rend. Circ. Mat. Palermo 42, 369–381 (1993). https://doi.org/10.1007/BF02844628

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  • DOI: https://doi.org/10.1007/BF02844628

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