PELCZYNSKI SPACE IS ISOMORPHIC TO THE LIPSCHITZ FREE SPACE OVER A COMPACT SET
Affiliation auteurs | Affiliation ok |
Titre | PELCZYNSKI SPACE IS ISOMORPHIC TO THE LIPSCHITZ FREE SPACE OVER A COMPACT SET |
Type de publication | Journal Article |
Year of Publication | 2019 |
Auteurs | Garcia-Lirola LC, Prochazka A |
Journal | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
Volume | 147 |
Pagination | 3057-3060 |
Date Published | JUL |
Type of Article | Article |
ISSN | 0002-9939 |
Mots-clés | Lipschitz free space, Pelczynski space |
Résumé | We prove the result stated in the title. This provides a first example of an infinite-dimensional Banach space whose Lipschitz free space is isomorphic to the free space of a compact set. |
DOI | 10.1090/proc/14446 |