On the local moduli of squareness
[EN] We introdu e the notions of pointwise modulus of squareness and lo al modulus of squareness of a normed spa e X . This answers a question of C. Benítez, K. Przesªawski and D. Yost about the de nition of a sensible lo alization of the modulus of squareness. Geometri al properties of the norm of...
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| Format: | article |
| Publication Date: | 2008 |
| 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:10251/93283 |
| Online Access: | https://riunet.upv.es/handle/10251/93283 |
| Access Level: | Open access |
| Keyword: | Banach spaces Locally uniformly rotund norms Frechet smooth norms Strict convex norms Gateaux smooth norms Modulus of squareness MATEMATICA APLICADA |
| Summary: | [EN] We introdu e the notions of pointwise modulus of squareness and lo al modulus of squareness of a normed spa e X . This answers a question of C. Benítez, K. Przesªawski and D. Yost about the de nition of a sensible lo alization of the modulus of squareness. Geometri al properties of the norm of X (Fré het smoothness, Gâteaux smoothness, lo al uniform onvexity or stri t onvexity) are hara terized in terms of the behaviour of these moduli. |
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