AVERAGE DISTANCES AND OCTAHEDRAL NORMS

  • Published : 1999.05.01

Abstract

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.

References

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