Norming Markushevich bases: recent results and open problems

2024/02/28 by Petr Hájek, Hájek, Petr, Tommaso Russo +1 · 1 citation
Computer Science · #FOS: Mathematics #Functional Analysis (math.FA) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2402.18442

openalex publication_date 2024/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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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