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An estimate of the Banach-Mazur distances between Hilbert spaces and Banach spaces

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Abstract

We discuss a geometric property that provides tools for the estimate of the Δ2 on spaces of Rademacher functions with values on a Banach space for particular sequences of vectors. We obtain in this way a technique to study those Banach spaces that are isomorphic to Hilbert spaces. In particular, an estimate of the Banach-Mazur distance between such these spaces is obtained.

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Authors and Affiliations

  1. Departmento de Matemática Aplicada E.T.S. Ingenieros Agrónomos, Universitat Politécnica de Valencia, E-46071, Valencia, Spain

    E. A. Sánchez Pérez & S. Del Campo Cañizares

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  1. E. A. Sánchez Pérez
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  2. S. Del Campo Cañizares
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Sánchez Pérez, E.A., Del Campo Cañizares, S. An estimate of the Banach-Mazur distances between Hilbert spaces and Banach spaces. Rend. Circ. Mat. Palermo 46, 465–476 (1997). https://doi.org/10.1007/BF02844285

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  • DOI: https://doi.org/10.1007/BF02844285

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