This is an announcement for the paper “Pełczyński space is isomorphic to the Lipschitz free space over a compact set” by Luis C. García-Lirolahttps://arxiv.org/search/math?searchtype=author&query=Garc%C3%ADa-Lirola%2C+L+C, Antonín Procházkahttps://arxiv.org/search/math?searchtype=author&query=Proch%C3%A1zka%2C+A.

Abstract: 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.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1808.00859