Characterizing the metric compactification of Lp spaces by random measures
| dc.contributor | Aalto-yliopisto | fi |
| dc.contributor | Aalto University | en |
| dc.contributor.author | Gutiérrez, Armando W. | en_US |
| dc.contributor.department | Department of Mathematics and Systems Analysis | en |
| dc.contributor.groupauthor | Numerical Analysis | en |
| dc.date.accessioned | 2020-01-02T14:05:24Z | |
| dc.date.available | 2020-01-02T14:05:24Z | |
| dc.date.issued | 2020-04 | en_US |
| dc.description.abstract | We 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.version | Peer reviewed | en |
| dc.format.extent | 17 | |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.citation | Gutiérrez, 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/s43034-019-00024-1 | en |
| dc.identifier.doi | 10.1007/s43034-019-00024-1 | en_US |
| dc.identifier.issn | 2008-8752 | |
| dc.identifier.other | PURE UUID: 9eff7a97-5f9c-4d08-8680-f680b7cb2414 | en_US |
| dc.identifier.other | PURE ITEMURL: https://research.aalto.fi/en/publications/9eff7a97-5f9c-4d08-8680-f680b7cb2414 | en_US |
| dc.identifier.other | PURE LINK: http://www.scopus.com/inward/record.url?scp=85080854615&partnerID=8YFLogxK | |
| dc.identifier.other | PURE FILEURL: https://research.aalto.fi/files/39596499/Guti_rrez2020_Article_CharacterizingTheMetricCompact_1.pdf | en_US |
| dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/42151 | |
| dc.identifier.urn | URN:NBN:fi:aalto-202001021262 | |
| dc.language.iso | en | en |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Annals of Functional Analysis | en |
| dc.relation.ispartofseries | Volume 11, issue 2, pp. 227-243 | en |
| dc.rights | openAccess | en |
| dc.subject.keyword | Mathematics - Functional Analysis | en_US |
| dc.subject.keyword | Mathematics - Metric Geometry | en_US |
| dc.subject.keyword | Mathematics - Probability | en_US |
| dc.subject.keyword | 54D35 | en_US |
| dc.subject.keyword | 46E30 | en_US |
| dc.subject.keyword | 60G57 | en_US |
| dc.title | Characterizing the metric compactification of Lp spaces by random measures | en |
| dc.type | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä | fi |
| dc.type.version | publishedVersion |