Polyhedrality for twisted sums with C(ωα)
We obtain two partial answers to the 3-space problem for isomorphic polyhedrality: (1) every twisted sum of C(α), α<ω1, with a separable isomorphically polyhedral space with the BAP, is isomorphically polyhedral. (2) Every twisted sum of c0(ℵ) and a Banach space having a boundary with property (∗) has a boundary with property (∗), hence it is isomorphically polyhedral.
Authors
- Jesús M. F. Castillo (ORCID: https://orcid.org/0000-0003-3032-966X)
- Alberto Salguero Alarcón (ORCID: https://orcid.org/0000-0001-6100-0766)
Institutions
- Universidad Complutense de Madrid (ES)
- Universidad de Extremadura (ES)
Publication Details
- Journal
- Studia Mathematica
- Published
- 2025-08-28
- DOI
- https://doi.org/10.4064/sm241009-20-3
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Junta de Extremadura