Pełczyński space is isomorphic to the Lipschitz free space over a compact set

2018/08/02 by Luis C. García‐Lirola, García-Lirola, Luis C., A. Procházka +1
Mathematics · #46B03 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1808.00859

openalex publication_date 2018/08/02 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

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.

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• Pełczyński's property (V^*) in Lipschitz-free spaces
• Products of Lipschitz-free spaces and applications
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• Lipschitz Free Spaces over Locally Compact Metric Spaces
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