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Complemented copies of ℓp spaces in tensor products

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Abstract

We give sufficient conditions on Banach spaces X and Y so that their projective tensor product X ⊗π Y, their injective tensor product X ⊗ɛ Y, or the dual (X ⊗π Y)* contain complemented copies of ℓp.

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Authors and Affiliations

  1. Dipartimento di Matematica, Facoltà di Scienze, Università di Catania, Viale Andrea Doria 6, 95100, Catania, Italy

    Raffaella Cilia

  2. Departamento de Matemática Aplicada, ETS de Ingenieros Industriales, Universidad Politécnica de Madrid, C. José Gutiérrez Abascal 2, 28006, Madrid, Spain

    Joaquín M. Gutiérrez

Authors
  1. Raffaella Cilia
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  2. Joaquín M. Gutiérrez
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Cilia, R., Gutiérrez, J.M. Complemented copies of ℓp spaces in tensor products. Czech Math J 57, 319–329 (2007). https://doi.org/10.1007/s10587-007-0062-8

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  • DOI: https://doi.org/10.1007/s10587-007-0062-8

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