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Boundedness of biorthogonal systems in Banach spaces

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Abstract

We prove that every Banach space that admits a Markushevich basis also admits a bounded Markushevich basis.

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences of the Czech Rep., Žitná 25, 115 67, Praha 1, Czech Republic

    Petr Hájek

  2. Instituto Universitario de Matemática Pura y Aplicada Departamento de Matemática Aplicada, E.T.S.I. Telecomunicación, Universidad Politécnica de Valencia, Camino de Vera, s/n., 46022, Valencia, Spain

    Vicente Montesinos

Authors
  1. Petr Hájek
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  2. Vicente Montesinos
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Correspondence to Petr Hájek.

Additional information

Supported by grants: Institutional Research Plan AV0Z10190503, GA ČR 201/07/0394, Universidad Politécnica de Valencia and Generalitat Valenciana (P. Hájek), Proyecto MTM2005-08210, Universidad Politécnica de Valencia and Generalitat Valenciana (V. Montesinos)

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Hájek, P., Montesinos, V. Boundedness of biorthogonal systems in Banach spaces. Isr. J. Math. 177, 145–154 (2010). https://doi.org/10.1007/s11856-010-0041-x

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  • DOI: https://doi.org/10.1007/s11856-010-0041-x

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