THE MAZUR INTERSECTION PROPERTY AND ASPLUND SPACES

Citation
Mj. Sevilla et Jp. Moreno, THE MAZUR INTERSECTION PROPERTY AND ASPLUND SPACES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(9), 1995, pp. 1219-1223
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
321
Issue
9
Year of publication
1995
Pages
1219 - 1223
Database
ISI
SICI code
0764-4442(1995)321:9<1219:TMIPAA>2.0.ZU;2-O
Abstract
We answer a question posed by J. R. Giles, D. A. Gregory and B. Sims, on the Mazur intersection property, by exhibiting a class of non Asplu nd spaces admitting an equivalent norm with the above property. On the other hand, if the continuum hypothesis is assumed, we find an Asplun d space admitting no equivalent norm with the Mazur intersection prope rty and whose dual space admits no equivalent norm with the weak Maz ur intersection property.