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arXiv · 2402.18442

Norming Markushevich bases: recent results and open problems

Petr Hájek·Tommaso Russo
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Abstract

We survey several results concerning norming Markushevich bases (M-bases, for short), focusing in particular on two recent examples of a weakly compactly generated Banach space with no norming M-basis and of an Asplund space with norming M-basis that is not weakly compactly generated. We highlight the context for these problems and state several open problems in different directions that arise from these results.

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Petr Hájek, Tommaso Russo. 2024-02-28. Norming Markushevich bases: recent results and open problems. https://arxiv.org/abs/2402.18442

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