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Type and infratype in symmetric sequence spaces

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Abstract

We construct a symmetric sequence space that is of infratype 2 but not of type 2.

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References

  1. J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces II, Springer-Verlag, Berlin, 1979.

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Authors and Affiliations

  1. Institut de Mathématiques, Université Paris VI, 4 pl. Jussieu, 75230, Paris Cedex 05, France

    Michel Talagrand

  2. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210, Columbus, OH, USA

    Michel Talagrand

Authors
  1. Michel Talagrand
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Additional information

Dedicated to J. Lindenstrauss.

Work partially supported by an NSF grant.

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Talagrand, M. Type and infratype in symmetric sequence spaces. Isr. J. Math. 143, 157–180 (2004). https://doi.org/10.1007/BF02803497

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  • DOI: https://doi.org/10.1007/BF02803497

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