The horofunction boundary of finite-dimensional ℓp spaces

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorGutierrez, Armando W.
dc.contributor.departmentDepartment of Mathematics and Systems Analysis
dc.date.accessioned2022-08-10T08:16:41Z
dc.date.available2022-08-10T08:16:41Z
dc.date.issued2019
dc.description.abstractWe give a complete description of the horofunction boundary of finite-dimensional ℓ p spaces for 1 ≤ p ≤ ∞. We also study the variation norm on ℝ N , N = {1, …, N}, and the corresponding horofunction boundary. As a consequence, we describe the horofunctions for Hilbert’s projective metric on the interior of the standard cone ℝ N + of ℝ N .en
dc.description.versionPeer revieweden
dc.format.extent15
dc.format.extent51-65
dc.format.mimetypeapplication/pdf
dc.identifier.citationGutierrez , A W 2019 , ' The horofunction boundary of finite-dimensional ℓp spaces ' , Colloquium Mathematicum , vol. 155 , no. 1 , pp. 51-65 . https://doi.org/10.4064/cm7320-3-2018en
dc.identifier.doi10.4064/cm7320-3-2018
dc.identifier.issn0010-1354
dc.identifier.otherPURE UUID: 34975052-b9a9-472b-8fb3-d206aef272e6
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/34975052-b9a9-472b-8fb3-d206aef272e6
dc.identifier.otherPURE LINK: http://www.scopus.com/inward/record.url?scp=85062390403&partnerID=8YFLogxK
dc.identifier.otherPURE LINK: https://arxiv.org/pdf/1709.03462v2.pdf
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/85486960/lp_horoboundary.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/115726
dc.identifier.urnURN:NBN:fi:aalto-202208104548
dc.language.isoenen
dc.publisherARS POLONA-RUCH
dc.relation.ispartofseriesCOLLOQUIUM MATHEMATICUMen
dc.relation.ispartofseriesVolume 155, issue 1en
dc.rightsopenAccessen
dc.subject.keywordhorofunctions
dc.subject.keywordmetric spaces
dc.subject.keywordlp norms
dc.subject.keywordvariation norm
dc.subject.keywordHilbert's projective metric
dc.titleThe horofunction boundary of finite-dimensional ℓp spacesen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionacceptedVersion
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