Complementability of Isometric Copies of L1 in Transportation Cost Spaces
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Ostrovskii, Mikhail I. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:22:15Z | |
| dc.date.available | 2024-07-05T15:22:15Z | |
| dc.date.issued | 2024 | |
| dc.description.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 different 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 $1. (c) 2023 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | National Science Foundation [NSF DMS-1953773] | en_US |
| dc.description.sponsorship | The second-named author gratefully acknowledges the support by the National Science Foundation grant NSF DMS-1953773. The authors express their sincere gratitude to the referee for constructive criticism and many helpful comments. | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2023.127234 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.scopus | 2-s2.0-85151296865 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2023.127234 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2164 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Arens-Eells space | en_US |
| dc.subject | Earth mover distance | en_US |
| dc.subject | Kantorovich-Rubinstein distance | en_US |
| dc.subject | Lipschitz-free space | en_US |
| dc.subject | Transportation cost | en_US |
| dc.subject | Wasserstein distance | en_US |
| dc.title | Complementability of Isometric Copies of L1 in Transportation Cost Spaces | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Ostrovska, Sofiya | |
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| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06830 Ankara, Turkiye; [Ostrovskii, Mikhail I.] St Johns Univ, Dept Math & Comp Sci, 8000 Utopia Pkwy, Queens, NY 11439 USA | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 127234 | |
| gdc.description.volume | 529 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | earth mover distance | |
| gdc.oaire.keywords | Lipschitz-free space | |
| gdc.oaire.keywords | Metric Geometry (math.MG) | |
| gdc.oaire.keywords | Kantorovich-Rubinstein distance | |
| gdc.oaire.keywords | Functional Analysis (math.FA) | |
| gdc.oaire.keywords | Mathematics - Functional Analysis | |
| gdc.oaire.keywords | Mathematics - Metric Geometry | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Mathematics - Combinatorics | |
| gdc.oaire.keywords | Isometric theory of Banach spaces | |
| gdc.oaire.keywords | Arens-Eells space | |
| gdc.oaire.keywords | Wasserstein distance | |
| gdc.oaire.keywords | Combinatorics (math.CO) | |
| gdc.oaire.keywords | Classical Banach spaces in the general theory | |
| gdc.oaire.keywords | transportation cost | |
| gdc.oaire.keywords | 6B04, 46B20, 46B85, 91B32 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
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