English

Pe{\l}czy\'nski space is isomorphic to the Lipschitz free space over a compact set

Functional Analysis 2019-11-14 v2

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.

Keywords

Cite

@article{arxiv.1808.00859,
  title  = {Pe{\l}czy\'nski space is isomorphic to the Lipschitz free space over a compact set},
  author = {Luis C. García-Lirola and Antonin Prochazka},
  journal= {arXiv preprint arXiv:1808.00859},
  year   = {2019}
}

Comments

v2: typo in references corrected