On Relations Between Transportation Cost Spaces and <i>l</I><sub>1<
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Ostrovskii, Mikhail I. | |
| dc.date.accessioned | 2024-07-05T15:39:17Z | |
| dc.date.available | 2024-07-05T15:39:17Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | The present paper deals with some structural properties of transportation cost spaces, also known as Arens-Eells spaces, Lipschitz-free spaces and Wasserstein spaces. The main results of this work are: (1) A necessary and sufficient condition on an infinite metric space M, under which the transportation cost space on M contains an isometric copy of l(1). The obtained condition is applied to answer the open questions asked by Cuth and Johanis (2017) concerning several specific metric spaces. (2) The description of the transportation cost space of a weighted finite graph G as the quotient l(1) (E(G))/Z(G), where E(G) is the edge set and Z(G) is the cycle space of G. (C) 2020 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | National Science Foundation [NSF DMS-1700176]; St. John's University | en_US |
| dc.description.sponsorship | The second author gratefully acknowledges the support by the National Science Foundation grant NSF DMS-1700176 and by St. John's University. We would like to thank the referee for the careful reading of the paper and numerous corrections. | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2020.124338 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.scopus | 2-s2.0-85087406316 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2020.124338 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3209 | |
| 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/openAccess | 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 | On Relations Between Transportation Cost Spaces and <i>l</I><sub>1< | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey; [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 | 124338 | |
| gdc.description.volume | 491 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2979854451 | |
| gdc.identifier.wos | WOS:000556890600008 | |
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| gdc.oaire.keywords | Mathematics - Functional Analysis | |
| gdc.oaire.keywords | 46B04, 46B20, 46B85, 91B32 | |
| gdc.oaire.keywords | Mathematics - Metric Geometry | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Metric Geometry (math.MG) | |
| gdc.oaire.keywords | Functional Analysis (math.FA) | |
| gdc.oaire.keywords | Earth mover distance | |
| gdc.oaire.keywords | Lipschitz-free space | |
| gdc.oaire.keywords | Kantorovich-Rubinstein distance | |
| gdc.oaire.keywords | Signed and weighted graphs | |
| gdc.oaire.keywords | minimum weight perfect matching | |
| gdc.oaire.keywords | Isometric theory of Banach spaces | |
| gdc.oaire.keywords | Arens-Eells space | |
| gdc.oaire.keywords | Wasserstein distance | |
| gdc.oaire.keywords | Classical Banach spaces in the general theory | |
| gdc.oaire.keywords | transportation cost | |
| gdc.oaire.popularity | 1.1359418E-8 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Ostrovska, Sofiya | |
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