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On Besselian Schauder bases inl p (E)

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Abstract

By complex interpolation and tensor products, Schauder bases are constructed of the Banach sequence spacesl p (E). In a general result, we study the Besselian property of the basis, and ifE is assumed to be theL p (Lebesgue) andS p (v. Neumann-Schatten) space, we obtain inequalities for the coefficient functionals associated to the basis which generalise other results given by Hausdorff—Young and Gohberg—Marcus. Finally, we construct non-Besselian and conditional bases ofl p (E).

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  1. Facultad de Matemáticas Departmento de Teoría de Funciones, Universidad de Santiago de Compostela, Santiago de Compostela, Spain

    M. A. Fugarolas

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  1. M. A. Fugarolas
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Fugarolas, M.A. On Besselian Schauder bases inl p (E). Monatshefte für Mathematik 97, 99–105 (1984). https://doi.org/10.1007/BF01653239

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  • DOI: https://doi.org/10.1007/BF01653239

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