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