Complementability of isometric copies of ℓ1 in transportation cost spaces

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Date
2024-01-15
Authors
Ostrovska, Sofiya
Ostrovskii, Mikhail I.
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Mathematical Analysis and Applications
Abstract
This work aims to establish new results pertaining to the structure of transportation cost spaces. Due to the fact that those spaces were studied and applied in various contexts, they have also become known under differ ent names such as Arens-Eells spaces, Lipschitz-free spaces, and Wasserstein spaces. The main outcome of this paper states that if a metric space X is such that the transportation cost space on X contains an isometric copy of ℓ1, then it contains a 1-complemented isometric copy of ℓ1.
Description
Published by Journal of Mathematical Analysis and Applications ; https://doi.org/10.1016/j.jmaa.2023.127234 ; Sofiya Ostrovska, Department of Mathematics, Atilim University, 06830 Incek, Ankara, Turkey; Mikhail I. Ostrovskii, Department of Mathematics and Computer Science, St. John's University, 8000 Utopia Parkway, Queens, NY 11439, USA.
Keywords
Arens-Eells space, Banach space, earth mover distance, Kantorovich-Rubin stein distance, Lipschitz-free space, transportation cost, Wasserstein distance 2020 Mathematics Subject Classification. Primary: 46B04; Secondary: 46B20, 46B85, 91B32
Citation
http://hdl.handle.net/20.500.14411/1951
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