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http://hdl.handle.net/10662/19479
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Campo DC | Valor | idioma |
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dc.contributor.author | Bouafia, P. | - |
dc.contributor.author | De Pauw, T. | - |
dc.date.accessioned | 2024-01-30T12:28:08Z | - |
dc.date.available | 2024-01-30T12:28:08Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/19479 | - |
dc.description.abstract | We study measurable spaces equipped with a σ-ideal of negligible sets. We _find conditions under which they admit a localizable locally determined version - a kind of _fiber space that locally describes their directions - defined by a universal property in an appropriate category that we introduce. These methods allow to promote each measure space (X; 𝒜 𝜇;) to a strictly localizable version (X̂ Â, 𝜇̂; ), so that the dual of L₁(X; 𝒜, 𝜇) is L∞( X̂ ;Â; 𝜇̂). Corresponding to this duality is a generalized Radon-Nikoým theorem. We also provide a characterization of the strictly localizable version in special cases that include integral geometric measures, when the negligibles are the purely unrecti_able sets in a given dimensión. | es_ES |
dc.format.extent | 65 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Measurable space with negligibles | es_ES |
dc.subject | Radon-Nikodým Theorem | es_ES |
dc.subject | Strictly localizable measure space | es_ES |
dc.subject | Integral geometric measure | es_ES |
dc.subject | Purely unrectifiable | es_ES |
dc.title | Radon-Nikodýmification of arbitrary measure spaces | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | es_ES |
dc.subject.unesco | 12 Matemáticas | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | BOUAFIA, P. y DE PAUW, T. (2023). Radon-Nikodýmification of arbitrary measure spaces. Extracta Mathematicae, 38 (2), 139-203. https://doi.org/10.17398/2605-5686.38.2.139 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | N/A | es_ES |
dc.relation.publisherversion | https://revista-em.unex.es/index.php/EM/article/view/2605-5686.38.2.139/2110 | es_ES |
dc.identifier.doi | 10.17398/2605-5686.38.2.125 | - |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 139 | es_ES |
dc.identifier.publicationlastpage | 203 | es_ES |
dc.identifier.publicationvolume | 38 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 38, nº 2 (2023) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_38_2_139.pdf | 724,62 kB | Adobe PDF | Descargar |
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