Schauder bases under uniform renormings
[EN] Let X be a separable superreflexive Banach space with a Schauder basis. We prove the existence of an equivalent uniformly smooth (resp. uniformly rotund) renorming under which the given basis is monotone.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2007 |
| 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:10251/147622 |
| Online Access: | https://riunet.upv.es/handle/10251/147622 |
| Access Level: | Open access |
| Keyword: | Banach spaces Monotone schauder basis Uniformly frechet norms Uniformly rotund norms MATEMATICA APLICADA |
| Summary: | [EN] Let X be a separable superreflexive Banach space with a Schauder basis. We prove the existence of an equivalent uniformly smooth (resp. uniformly rotund) renorming under which the given basis is monotone. |
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