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Type and Cotype of Banach Spaces

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Probability in Banach Spaces

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((CLASSICS,volume 23))

Abstract

The notion of type of a Banach space already appeared in the last chapters on the law of large numbers and the law of the iterated logarithm. We observed there that, in quite general situations, almost sure properties can be reduced to properties in probability or in L P , 0 ≤ p < ∞. Starting with this chapter, we will now study the possibility of a control in probability, or in the weak topology, of probability distributions of sums of independent random variables.

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Author information

Authors and Affiliations

  1. Institut de Recherche Mathématique Avancée, Département de Mathématique, Université Louis Pasteur, F-67084, Strasbourg, France

    Michel Ledoux

  2. Equipe d’Analyse, Université de Paris VI, F-75252, Paris, France

    Michel Talagrand

  3. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, USA

    Michel Talagrand

Authors
  1. Michel Ledoux
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  2. Michel Talagrand
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© 1991 Springer-Verlag Berlin Heidelberg

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Ledoux, M., Talagrand, M. (1991). Type and Cotype of Banach Spaces. In: Probability in Banach Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20212-4_11

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  • DOI: https://doi.org/10.1007/978-3-642-20212-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20211-7

  • Online ISBN: 978-3-642-20212-4

  • eBook Packages: Springer Book Archive

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