New families of nonrefiexiye Banach spaces with the fixed point property
In this paper we define the concept of sequentially separating norm and we relate it to the fulfillment of the fixed point property for nonexpansive mappings. We develop a technique to construct families of nonreflexive Banach spaces with the fixed point property. Different examples will be exhibite...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182202 |
| Acceso en línea: | https://hdl.handle.net/11441/182202 https://doi.org/10.1016/j.jmaa.2014.12.036 |
| Access Level: | acceso abierto |
| Palabra clave: | Schauder basis Sequentially separating norms Fixed point property Nonexpansive mappings Renorming theory Schur property |
| Sumario: | In this paper we define the concept of sequentially separating norm and we relate it to the fulfillment of the fixed point property for nonexpansive mappings. We develop a technique to construct families of nonreflexive Banach spaces with the fixed point property. Different examples will be exhibited. We also study the geometry of the Banach spaces that can be renormed with a sequentially separating norm. |
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