Characterizing the metric compactification of Lp spaces by random measures

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorGutiérrez, Armando W.en_US
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.groupauthorNumerical Analysisen
dc.date.accessioned2020-01-02T14:05:24Z
dc.date.available2020-01-02T14:05:24Z
dc.date.issued2020-04en_US
dc.description.abstractWe present a complete characterization of the metric compactification of Lp spaces for 1≤p<∞. Each element of the metric compactification of Lp is represented by a random measure on a certain Polish space. By way of illustration, we revisit the Lp-mean ergodic theorem for 1<p<∞, and Alspach’s example of an isometry on a weakly compact convex subset of L1 with no fixed points.en
dc.description.versionPeer revieweden
dc.format.extent17
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationGutiérrez, A W 2020, ' Characterizing the metric compactification of Lp spaces by random measures ', Annals of Functional Analysis, vol. 11, no. 2, AFA-D-19-00059, pp. 227-243 . https://doi.org/10.1007/s43034-019-00024-1en
dc.identifier.doi10.1007/s43034-019-00024-1en_US
dc.identifier.issn2008-8752
dc.identifier.otherPURE UUID: 9eff7a97-5f9c-4d08-8680-f680b7cb2414en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/9eff7a97-5f9c-4d08-8680-f680b7cb2414en_US
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dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/39596499/Guti_rrez2020_Article_CharacterizingTheMetricCompact_1.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/42151
dc.identifier.urnURN:NBN:fi:aalto-202001021262
dc.language.isoenen
dc.publisherDUKE UNIVERSITY PRESS
dc.relation.ispartofseriesAnnals of Functional Analysisen
dc.relation.ispartofseriesarticlenumber AFA-D-19-00059en
dc.rightsopenAccessen
dc.subject.keywordMathematics - Functional Analysisen_US
dc.subject.keywordMathematics - Metric Geometryen_US
dc.subject.keywordMathematics - Probabilityen_US
dc.subject.keyword54D35en_US
dc.subject.keyword46E30en_US
dc.subject.keyword60G57en_US
dc.titleCharacterizing the metric compactification of Lp spaces by random measuresen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion
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