TY - JOUR
T1 - Extreme points in polyhedral Banach spaces
AU - De Bernardi, Carlo Alberto
PY - 2017
Y1 - 2017
N2 - We show that there exists a polyhedral Banach space X such that the closed unit ball of X is the closed convex hull of its extreme points. This solves a problem posed by J. Lindenstrauss in 1966.
AB - We show that there exists a polyhedral Banach space X such that the closed unit ball of X is the closed convex hull of its extreme points. This solves a problem posed by J. Lindenstrauss in 1966.
KW - polyhedral banach space, extreme point
KW - polyhedral banach space, extreme point
UR - http://hdl.handle.net/10807/113750
UR - http://www.springer.com/math/journal/11856
U2 - 10.1007/s11856-017-1539-2
DO - 10.1007/s11856-017-1539-2
M3 - Article
SN - 0021-2172
VL - 220
SP - 547
EP - 557
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
ER -