Data di Pubblicazione:
2021
Citazione:
An Asplund space with norming Markuševič basis that is not weakly compactly generated / P. Hájek, T. Russo, J. Somaglia, S. Todorčević. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 392:(2021 Dec 03), pp. 108041.1-108041.22. [10.1016/j.aim.2021.108041]
Abstract:
We construct an Asplund Banach space with a norming Markuševič basis such that is not weakly compactly generated. This solves a long-standing open problem from the early nineties, originally due to Gilles Godefroy. En route to the proof, we construct a peculiar example of scattered compact space, that also solves a question due to Wiesław Kubiś and Arkady Leiderman.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Norming Markuševič basis; Asplund Banach space; Weakly compactly generated Banach space; ϱ-function; Semi-Eberlein compact space;
Elenco autori:
P. Hájek, T. Russo, J. Somaglia, S. Todorčević
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