Norming Markushevich bases: recent results and open problems
Functional Analysis
2025-10-01 v3
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.
Keywords
Cite
@article{arxiv.2402.18442,
title = {Norming Markushevich bases: recent results and open problems},
author = {Petr Hájek and Tommaso Russo},
journal= {arXiv preprint arXiv:2402.18442},
year = {2025}
}