RT Journal Article
T1 A note on porosity and the Mazur intersection property
A1 Jiménez Sevilla, María Del Mar
A1 Moreno, José Pedro
AB Let M be the collection of all intersections of balls, considered as a subset of the hyperspace H of all closed, convex and bounded sets of a Banach space, furnishedwith the Hausdorff metric. We prove that M is uniformly very porous if and only if the space fails the Mazur intersection property.
PB Cambridge Univ. Press
SN 0025-5793
YR 2000
FD 2000-12
LK https://hdl.handle.net/20.500.14352/58631
UL https://hdl.handle.net/20.500.14352/58631
LA eng
NO The authors wish to thank the C.E.C.M., the Department ofMathematics and Statistics of the Simon Fraser University and specially J. Borwein for their hospitality during the preparation of this note. We also thank the referee for valuable suggestions improving its readability
NO DGICYT
DS Docta Complutense
RD 7 abr 2025