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.
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]
An Asplund space with norming Markuševič basis that is not weakly compactly generated
T. RussoSecondo
;J. SomagliaPenultimo
;
2021
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Hajek, Russo, Somaglia, Todorcevic - An Asplund space with norming Markushevich basis that is not weakly compactly generated.pdf
Open Access dal 04/12/2023
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
550.38 kB
Formato
Adobe PDF
|
550.38 kB | Adobe PDF | Visualizza/Apri |
|
1-s2.0-S0001870821004801-main (1).pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
537.25 kB
Formato
Adobe PDF
|
537.25 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
