TY - JOUR
T1 - Unit balls of polyhedral Banach spaces with many extreme points
AU - De Bernardi, Carlo Alberto
PY - 2024
Y1 - 2024
N2 - Let E be a (IV)-polyhedral Banach space. We show that, for each epsilon > 0, E admits an epsilon-equivalent (V)-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points. In particular, every separable isomorphically polyhedral Banach space has this property.
AB - Let E be a (IV)-polyhedral Banach space. We show that, for each epsilon > 0, E admits an epsilon-equivalent (V)-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points. In particular, every separable isomorphically polyhedral Banach space has this property.
KW - extreme point
KW - polyhedral Banach space
KW - extreme point
KW - polyhedral Banach space
UR - https://publicatt.unicatt.it/handle/10807/283377
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85195061434&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85195061434&origin=inward
U2 - 10.4064/sm230710-31-12
DO - 10.4064/sm230710-31-12
M3 - Article
SN - 0039-3223
VL - 275
SP - 175
EP - 196
JO - Studia Mathematica
JF - Studia Mathematica
IS - 2
ER -