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A uniformly convex hereditarily indecomposable banach space

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Abstract

We construct a uniformly convex hereditarily indecomposable Banach space, using a method similar to the one of Gowers and Maurey in [GM], and the theory of complex interpolation for a family of Banach spaces of Coifman, Cwikel, Rochberg, Sagher, and Weiss ([CCRSW1]).

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Authors and Affiliations

  1. Equipe d’Analyse, Université Paris 6, Tour 46-0, Boîte 186 4, place Jussieu, 75252, Paris Cedex 05, France

    V. Ferenczi

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  1. V. Ferenczi
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Correspondence to V. Ferenczi.

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Ferenczi, V. A uniformly convex hereditarily indecomposable banach space. Isr. J. Math. 102, 199–225 (1997). https://doi.org/10.1007/BF02773800

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  • DOI: https://doi.org/10.1007/BF02773800

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