A CHARACTERISATION OF OCTAHEDRALITY IN LIPSCHITZ-FREE SPACES
| Affiliation auteurs | Affiliation ok |
| Titre | A CHARACTERISATION OF OCTAHEDRALITY IN LIPSCHITZ-FREE SPACES |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Prochazka A, Zoca ARueda |
| Journal | ANNALES DE L INSTITUT FOURIER |
| Volume | 68 |
| Pagination | 569-588 |
| Type of Article | Article |
| ISSN | 0373-0956 |
| Mots-clés | Free spaces, Octahedrality, Uniformly discrete metric spaces |
| Résumé | We characterise the octahedrality of Lipschitz-free space norm in terms of a new geometric property of the underlying metric space. We study the metric spaces with and without this property. Quite surprisingly, metric spaces without this property cannot be embedded isometrically into l(1) and similar Banach spaces. |
| DOI | 10.5802/aif.3171 |