On Embeddings of Locally Finite Metric Spaces Into <i>l<sub>p</Sub><
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Ostrovskii, Mikhail I. | |
| dc.date.accessioned | 2024-07-05T15:40:55Z | |
| dc.date.available | 2024-07-05T15:40:55Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | It is known that if finite subsets of a locally finite metric space M admit C-bilipschitz embeddings into l(p) (1 <= p <= infinity), then for every epsilon > 0, the space M admits a (C + epsilon)-bilipschitz embedding into l(p). The goal of this paper is to show that for p not equal 2, infinity this result is sharp in the sense that e cannot be dropped out of its statement. (C) 2019 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | National Science Foundation [NSF DMS-1700176] | en_US |
| dc.description.sponsorship | The second-named author gratefully acknowledges the support by National Science Foundation grant NSF DMS-1700176. | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2019.01.069 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.scopus | 2-s2.0-85060904776 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2019.01.069 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3393 | |
| 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 | Distortion of a bilipschitz embedding | en_US |
| dc.subject | Isometric embedding | en_US |
| dc.subject | Locally finite metric space | en_US |
| dc.subject | Strictly convex Banach space | en_US |
| dc.title | On Embeddings of Locally Finite Metric Spaces Into <i>l<sub>p</Sub>< | en_US |
| dc.type | Article | en_US |
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| gdc.author.wosid | Ostrovska, Sofiya/AAA-2156-2020 | |
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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.endpage | 673 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 666 | en_US |
| gdc.description.volume | 474 | en_US |
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| gdc.oaire.keywords | Mathematics - Functional Analysis | |
| gdc.oaire.keywords | Mathematics - Metric Geometry | |
| gdc.oaire.keywords | 46B85, 46B04 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Metric Geometry (math.MG) | |
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