• Title/Summary/Keyword: octahedral norms

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AVERAGE DISTANCES AND OCTAHEDRAL NORMS

  • Papini, Pier Luigi
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.259-272
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    • 1999
  • In [6], Godefroy defined octahedral norms to give an isomorphic characterization of spaces containing $\ell_1$. Here we will show that such norms can be defined by using "average distances" as introduced in[1]. Also, we indicate some other properties of average distances : in particular, we give some estimates for their values in the product of two spaces, furnished with the max or the sum norm.

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