Complementability of isometric copies of l1 in transportation cost spaces

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dc.authorscopusid35610828900
dc.authorscopusid7006870450
dc.contributor.authorOstrovska, Sofiya
dc.contributor.authorOstrovskii, Mikhail I.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:22:15Z
dc.date.available2024-07-05T15:22:15Z
dc.date.issued2024
dc.departmentAtılım Universityen_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 USAen_US
dc.description.abstractThis 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.sponsorshipNational Science Foundation [NSF DMS-1953773]en_US
dc.description.sponsorshipThe 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.citation0
dc.identifier.doi10.1016/j.jmaa.2023.127234
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85151296865
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2023.127234
dc.identifier.urihttps://hdl.handle.net/20.500.14411/2164
dc.identifier.volume529en_US
dc.identifier.wosWOS:001088812900001
dc.identifier.wosqualityQ2
dc.institutionauthorOstrovska, Sofiya
dc.language.isoenen_US
dc.publisherAcademic Press inc Elsevier Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectArens-Eells spaceen_US
dc.subjectEarth mover distanceen_US
dc.subjectKantorovich-Rubinstein distanceen_US
dc.subjectLipschitz-free spaceen_US
dc.subjectTransportation costen_US
dc.subjectWasserstein distanceen_US
dc.titleComplementability of isometric copies of l1 in transportation cost spacesen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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