Octahedrality and Gâteaux smoothness
We prove that every Banach space admitting a Gâteaux smooth norm and containing a complemented copy of ℓ 1 has an equivalent renorming which is simultaneously Gâteaux smooth and octahedral. This is a partial solution to an open problem from the early nineties.
Authors
- Petr Hájek (ORCID: https://orcid.org/0000-0001-5579-1215)
- Ch. Cobollo (ORCID: https://orcid.org/0000-0002-5901-5798)
Institutions
- Czech Technical University in Prague (CZ)
- Universitat Politècnica de València (ES)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2024-10-16
- DOI
- https://doi.org/10.1016/j.jmaa.2024.128968
- Citations
- 2
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 1.78
Funders
- České Vysoké Učení Technické v Praze
- Generalitat Valenciana
- Ministerio de Ciencia e Innovación