Octahedrality and Gâteaux smoothness
[EN] We prove that every Banach space admitting a Gâteaux smooth norm and containing a complemented copy of I1 has an equivalent renorming which is simultaneously Gâteaux smooth and octahedral. This is a partial solution to an open problem from the early nineties. (c) 2024 The Author(s). Published b...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/211985 |
| Online Access: | https://riunet.upv.es/handle/10251/211985 |
| Access Level: | Open access |
| Keyword: | Renorming Octahedral Gâteaux Geometry of Banach spaces |
| Summary: | [EN] We prove that every Banach space admitting a Gâteaux smooth norm and containing a complemented copy of I1 has an equivalent renorming which is simultaneously Gâteaux smooth and octahedral. This is a partial solution to an open problem from the early nineties. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC license (http://creativecommons .org /licenses /by -nc /4 .0/). |
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