Complementability of Isometric Copies of L1 in Transportation Cost Spaces

dc.authorscopusid 35610828900
dc.authorscopusid 7006870450
dc.contributor.author Ostrovska, Sofiya
dc.contributor.author Ostrovskii, Mikhail I.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:22:15Z
dc.date.available 2024-07-05T15:22:15Z
dc.date.issued 2024
dc.department Atılım University en_US
dc.department-temp [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
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.citationcount 0
dc.identifier.doi 10.1016/j.jmaa.2023.127234
dc.identifier.issn 0022-247X
dc.identifier.issn 1096-0813
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85151296865
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1016/j.jmaa.2023.127234
dc.identifier.uri https://hdl.handle.net/20.500.14411/2164
dc.identifier.volume 529 en_US
dc.identifier.wos WOS:001088812900001
dc.identifier.wosquality Q2
dc.institutionauthor Ostrovska, Sofiya
dc.language.iso en en_US
dc.publisher Academic Press inc Elsevier Science en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 0
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
dc.wos.citedbyCount 0
dspace.entity.type Publication
relation.isAuthorOfPublication af5756ab-54dd-454a-ac68-0babf2e35b43
relation.isAuthorOfPublication.latestForDiscovery af5756ab-54dd-454a-ac68-0babf2e35b43
relation.isOrgUnitOfPublication 31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

Files

Original bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Complementability of isometric copies Ostrovska_JMAA_2024.pdf
Size:
391.46 KB
Format:
Adobe Portable Document Format

Collections