Geodesic
Metric Spaces of Extreme Points
Theory and applications of categories, Tome 35 (2020), pp. 1823-1832.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

It is shown that any compact metric space of diameter at most 2 embeds isometrically as a linearly independent set of extreme points of the unit ball of a separable Banach space. The proof illustrates how category theory can play a useful role in a problem of functional analysis.
Publié le :
Classification : 46B04, 46B50, 18A40
Keywords: free Banach space, Arens-Eells embedding, extreme point 
@article{TAC_2020_35_a48,
     author = {Ernie Manes},
     title = {Metric {Spaces} of {Extreme} {Points}},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a48/}
}
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Ernie Manes. Metric Spaces of Extreme Points. Theory and applications of categories, Tome 35 (2020), pp. 1823-1832. http://geodesic.mathdoc.fr/item/TAC_2020_35_a48/