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

DOI10.1090/proc/14446zbMath1420.46006arXiv1808.00859OpenAlexW2886585731MaRDI QIDQ5384829

Antonín Procházka, Luis C. García-Lirola

Publication date: 26 June 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00859

zbMATH Keywords

Lipschitz free spacePełczyński space

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Related Items (4)

Compact Hölder retractions and nearest point maps ⋮ Retractions and the bounded approximation property in Banach spaces ⋮ Asymmetric free spaces and canonical asymmetrizations ⋮ Compact retractions and Schauder decompositions in Banach spaces

Cites Work

• The metric approximation property and Lipschitz-free spaces over subsets of \(\mathbb{R}^N\)
• Isometric embeddings of compact spaces into Banach spaces
• Topics in Banach Space Theory
• On the structure of Lipschitz-free spaces
• A survey on Lipschitz-free Banach Spaces
• The Lipschitz free Banach spaces of $C(K)$-spaces
• Planar Earthmover Is Not in $L_1$
• Lipschitz-free Banach spaces
• Products of Lipschitz-free spaces and applications
• Free Banach spaces and the approximation properties
• On complementably universal Banach spaces
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic

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