RT Journal Article
T1 The Hereditary Dunford-Pettis Property On C(K,E)
A1 Cembranos Díaz, María Del Pilar
AB The author studies the hereditary Dunford-Pettis property for spaces CX(K) of continuous Xvalued functions (X a Banach space) on a compact Hausdorff space K. First, she shows that CX(K) has the hereditary Dunford-Pettis property if and only if one of the following holds: (a) K is finite andX has the hereditary Dunford-Pettis property; (b) C(K) and c0(X) have the hereditary Dunford-Pettis property. Unwilling to give up here, the author provides an elegant characterization of when c0(X) has the hereditary Dunford-Pettis property. Since the paper was written, Nunez has provided an elegant example (based on work of Talagrand) of an X such that, while X is hereditarily Dunford-Pettis, c0(X) is not. Remarkable and satisfying!
PB University of Illinois
SN 0019-2082
YR 1987
FD 1987
LK https://hdl.handle.net/20.500.14352/64613
UL https://hdl.handle.net/20.500.14352/64613
LA eng
NO The Board Of Trustees Of The University Of Illinois
DS Docta Complutense
RD 8 abr 2025