Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10662/12921
Títulos: On sequentially right Banach spaces
Autores/as: Kačena, Miroslav
Palabras clave: Weakly compact operator;Right topology;Dunford-Pettis property;Property (V);Dieudonn´e property;Operador débilmente compacto;Topología derecha;Propiedad Dunford-Pettis;Propiedad (V);Propiedad de Dieudonné
Fecha de publicación: 2011
Editor/a: Universidad de Extremadura, Servicio de Publicaciones
Resumen: In this paper, we study the recently introduced class of sequentially Right Banach spaces. We introduce a stronger property (RD) and compare these two properties with other well-known isomorphic properties of Banach spaces such as property (V) or the Dieudonné property. In particular, we show that there is a sequentially Right Banach space without property (V). This answers a question of A.M. Peralta, I. Villanueva, J.D.M. Wright and K. Ylinen. We also generalize a result of A. Pelczy´nski and prove that every sequentially Right Banach space has weakly sequentially complete dual. Finally, it is shown that if K is a scattered compact Hausdorff space then the space C(K;X) of X-valued continuous functions on K is sequentially Right (resp. has property (RD)) if and only if X has the same property.
URI: http://hdl.handle.net/10662/12921
ISSN: 0213-8743
Colección:Extracta Mathematicae Vol. 26, nº 1 (2011)

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