RT Book, Section
T1 On some subsets of the dual of a Banach space.
A1 Bombal Gordón, Fernando
A2 Bayod Bayod, José Manuel
A2 González Ortiz, Manuel
A2 Martínez-Maurica, Javier
AB With the definition that a Banach space E has the property sDP if the Dunford-Pettis operators and the unconditionally converging operators from E into F coincide for every Banach space F, the author proves that E has property sDP if and only if two specified classes of subsets of the dual space E\sp* of  E coincide. He obtains a corresponding characterization of the Dunford-Pettis property of a Banach space E, i.e., that every weakly compact operator from E into F is also a Dunford-Pettis operator for every Banach space F. Additional results about the property sDP and easy proofs of certain known theorems are also given.
PB Universidad de Cantabria
SN 84-87412-40-8
YR 1991
FD 1991
LK https://hdl.handle.net/20.500.14352/60603
UL https://hdl.handle.net/20.500.14352/60603
DS Docta Complutense
RD 10 abr 2025