Distortion in the Metric Characterization of Superreflexivity in Terms of the Infinite Binary Tree

dc.contributor.author Ostrovska, Sofiya
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:18:14Z
dc.date.available 2024-07-05T15:18:14Z
dc.date.issued 2022
dc.department Atılım University en_US
dc.department-temp [Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey en_US
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.citationcount 0
dc.identifier.doi 10.7153/mia-2022-25-26
dc.identifier.endpage 431 en_US
dc.identifier.issn 1331-4343
dc.identifier.issue 2 en_US
dc.identifier.scopusquality Q2
dc.identifier.startpage 421 en_US
dc.identifier.uri https://doi.org/10.7153/mia-2022-25-26
dc.identifier.uri https://hdl.handle.net/20.500.14411/1843
dc.identifier.volume 25 en_US
dc.identifier.wos WOS:000829261700001
dc.identifier.wosquality Q2
dc.institutionauthor Ostrovska, Sofiya
dc.language.iso en en_US
dc.publisher Element en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
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
dc.wos.citedbyCount 1
dspace.entity.type Publication
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