Mazur's intersection property of balls for compact convex sets
1987 ◽
Vol 35
(2)
◽
pp. 267-274
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Keyword(s):
We show that every compact convex set in a Banach space X is an intersection of balls provided the cone generated by the set of all extreme points of the dual unit ball of X* is dense in X* in the topology of uniform convergence on compact sets in X. This allows us to renorm every Banach space with transfinite Schauder basis by a norm which shares the mentioned intersection property.
1998 ◽
Vol 41
(2)
◽
pp. 225-230
◽
Keyword(s):
2001 ◽
Vol 70
(3)
◽
pp. 323-336
◽
Keyword(s):
1988 ◽
Vol 37
(2)
◽
pp. 177-200
1996 ◽
Vol 28
(02)
◽
pp. 384-393
◽
Keyword(s):
1985 ◽
Vol 17
(02)
◽
pp. 308-329
◽
Keyword(s):
Keyword(s):
1991 ◽
Vol 109
(2)
◽
pp. 351-361
◽
1977 ◽
Vol 81
(2)
◽
pp. 225-232
◽
Keyword(s):
1972 ◽
Vol 11
(4)
◽
pp. 385-392
◽