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\({\mathcal{L}_1}\)-spaces with the Radon-Nikodým property containing reflexive subspaces

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Abstract

We show that for every sequence \({(p_n)_{n\in\mathbb{N}}}\) with 1 ≤ p n  ≤ 2 there exists an \({\mathcal{L}_1}\) -space with the Radon-Nikodým containing an isomorphic copy of \({\ell_1(\ell_{p_n})}\) .

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cantabria, 39071, Santander, Spain

    Manuel González

  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Oviedo, 33007, Oviedo, Spain

    Antonio Martínez-Abejón

  3. Departamento de Matemática Aplicada, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos, 28933, Móstoles, Spain

    Javier Pello

Authors
  1. Manuel González
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  2. Antonio Martínez-Abejón
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  3. Javier Pello
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Correspondence to Javier Pello.

Additional information

Supported in part by MICINN (Spain), Grant MTM2010–20190.

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González, M., Martínez-Abejón, A. & Pello, J. \({\mathcal{L}_1}\)-spaces with the Radon-Nikodým property containing reflexive subspaces . Arch. Math. 96, 349–358 (2011). https://doi.org/10.1007/s00013-011-0238-1

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  • DOI: https://doi.org/10.1007/s00013-011-0238-1

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