Artículo
Qualitative and quantitative properties for the space ℓp,q
Autor/es | Domínguez Benavides, Tomás
López Acedo, Genaro Xu, Hong-Kun |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1996 |
Fecha de depósito | 2016-09-22 |
Publicado en |
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Resumen | The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith ... The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith and Turett used 12,1 to show that neither normal structure nor uniform normal structure is a self dual property for Banach spaces. In this paper we present some more qualitative and quantitative properties for Ip,q; in particular, we provide an affirmative answer to a question of Khamsi. |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España Junta de Andalucía |
Identificador del proyecto | PB93-1177
1241 |
Cita | Domínguez Benavides, T., López Acedo, G. y Xu, H. (1996). Qualitative and quantitative properties for the space ℓ p,q. Houston Journal of Mathematics, 22 (1), 89-100. |
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