Octahedrality and Gâteaux smoothness
Year: 2024
Type: article
Abstract: 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: Ch. Cobollo, P. Hájek
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,100
Awards: G1175115578, G127282819, G1422035950, G2088693669, G2091541009, G2258270870, G2262748287, G2550080368, G2752244947, G300979063, G3480869486, G410571670, G425668148, G4318065344, G4364232679, G451917667, G4998806521, G5080475149, G5967599077, G6942139842, G71302176, G7398047371, G7594723714, G843564687, G8684520763
OpenAlex ID: W4403472150