Distortion in the Metric Characterization of Superreflexivity in Terms of the Infinite Binary Tree
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.date.accessioned | 2024-07-05T15:18:14Z | |
| dc.date.available | 2024-07-05T15:18:14Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The article presents a quantitative refinement of the result of Baudier (Archiv Math., 89 (2007), no. 5, 419-429): the infinite binary tree admits a bilipschitz embedding into an arbitrary non-superreflexive Banach space. According to the results of this paper, we can additionally require that, for an arbitrary epsilon > 0 and an arbitrary non-superreflexive Banach space X, there is an embedding of the infinite binary tree into X whose distortion does not exceed 4 + epsilon . | en_US |
| dc.identifier.doi | 10.7153/mia-2022-25-26 | |
| dc.identifier.issn | 1331-4343 | |
| dc.identifier.uri | https://doi.org/10.7153/mia-2022-25-26 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1843 | |
| dc.language.iso | en | en_US |
| dc.publisher | Element | en_US |
| dc.relation.ispartof | Mathematical Inequalities & Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Distortion of a bilipschitz embedding | en_US |
| dc.subject | logarithmic spiral | en_US |
| dc.subject | superreflexive Ba nach space | en_US |
| dc.subject | test space | en_US |
| dc.title | Distortion in the Metric Characterization of Superreflexivity in Terms of the Infinite Binary Tree | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 431 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 421 | en_US |
| gdc.description.volume | 25 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4285183090 | |
| gdc.identifier.wos | WOS:000829261700001 | |
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| gdc.oaire.keywords | test space | |
| gdc.oaire.keywords | distortion of a bilipschitz embedding | |
| gdc.oaire.keywords | Lipschitz and coarse geometry of metric spaces | |
| gdc.oaire.keywords | Local theory of Banach spaces | |
| gdc.oaire.keywords | Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science | |
| gdc.oaire.keywords | logarithmic spiral | |
| gdc.oaire.keywords | superreflexive Banach space | |
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| gdc.virtual.author | Ostrovska, Sofiya | |
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