PELCZYNSKI SPACE IS ISOMORPHIC TO THE LIPSCHITZ FREE SPACE OVER A COMPACT SET

Affiliation auteursAffiliation ok
TitrePELCZYNSKI SPACE IS ISOMORPHIC TO THE LIPSCHITZ FREE SPACE OVER A COMPACT SET
Type de publicationJournal Article
Year of Publication2019
AuteursGarcia-Lirola LC, Prochazka A
JournalPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume147
Pagination3057-3060
Date PublishedJUL
Type of ArticleArticle
ISSN0002-9939
Mots-clésLipschitz 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.

DOI10.1090/proc/14446