RT Journal Article
T1 On the surjective Dunford-Pettis Property
A1 Bombal Gordón, Fernando
A1 Cembranos, Pilar
A1 Mendoza Casas, José
AB A Banach space E has the Dunford-Pettis property if every operator from E into a reflexive Banach space is a Dunford-Pettis operator. D. Leung [Math. Z. 197, 21-32  (1988] introduced a formally weaker property, the surjective Dunford-Pettis property, by imposing that every operator from E onto a reflexive Banach space is Dunford-Pettis. This property is used by Leung to obtain sustantial extensions of previous results of Lotz on ergodic operators and strongly continuous semigroups of operators. Also he proved that the surjective Dunford- Pettis property is, in fact, genuinely weaker than the Dunford-Pettis property, building a Banach space L with the surjective Dunford-Pettis property that fails the Dunford-Pettis property. In this paper we obtain several results about the surjective Dunford- Pettis property showing some of the analogies and differences with the Dunford-Pettis property. Also, new properties of the interesting Banach space L built by Leung are obtained.
PB Universidad de Extremadura, Departamento de Matemáticas
SN 0213-8743
YR 1989
FD 1989
LK https://hdl.handle.net/20.500.14352/57205
UL https://hdl.handle.net/20.500.14352/57205
LA eng
NO Ministerio de Educación y Ciencia
DS Docta Complutense
RD 28 abr 2024