Two Characterizations of Super-Reflexive Banach Spaces by the Behaviour of Differences of Convex Functions
A function defined on a Banach space X is called Δ-convex if it can be represented as a difference of two continuous convex functions. In this work we study the relationship between some geometrical properties of a Banach space X and the behaviour of the class of all Δ-convex functions defined on it...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/178562 |
| Acesso em linha: | https://hdl.handle.net/11441/178562 https://doi.org/10.1006/jfan.2001.3854 |
| Access Level: | acceso abierto |
| Palavra-chave: | super-reflexive Banach spaces Convex functions Super-reflexive Banach spaces |
| Resumo: | A function defined on a Banach space X is called Δ-convex if it can be represented as a difference of two continuous convex functions. In this work we study the relationship between some geometrical properties of a Banach space X and the behaviour of the class of all Δ-convex functions defined on it. More precisely, we provide two new characterizations of super-reflexivity in terms Δ-convex functions. |
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