Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/9022
| Títulos: | Banach lattices with the positive Dunford-Pettis relatively compact property |
| Autores/as: | El Fahri, K. Machrafi, N. Moussa, M. |
| Palabras clave: | The positive Dunford-Pettis relatively compact property;Almost Dunford-Pettis completely continuous operator;Almost Dunford-Pettis set;Banach lattice;Propiedad relativamente compacta positiva de Dunford-Pettis;Conjunto de casi todo Dunford-Pettis;Enrejado de Banach;Operador casi continuo de casi todo el sistema de Dunford-Pettis |
| Fecha de publicación: | 2015 |
| Editor/a: | Universidad de Extremadura |
| Resumen: | The paper is devoted to such Banach lattices E that every Dunford-Pettis and weakly null sequence (x_n) ⊂ E with disjoint terms is norm null (the positive Dunford-Pettis relatively compact property). It is established that a Banach lattice E has the positive Dunford-Pettis relatively compact property if and only if its almost Dunford-Pettis subsets are L-weakly compact. Consequently, we derive the following result: Banach lattices with the property that their almost Dunford-Pettis subsets are relatively compact, are precisely the discrete KB-spaces. |
| URI: | http://hdl.handle.net/10662/9022 |
| Colección: | Extracta Mathematicae Vol. 30, nº 2 (2015) |
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| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_30_2_161.pdf | 127,83 kB | Adobe PDF | Descargar |
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