dc.contributor.author | Dovland, Olav | |
dc.contributor.author | Rodriguez, Jose | |
dc.date.accessioned | 2023-01-19T13:06:46Z | |
dc.date.available | 2023-01-19T13:06:46Z | |
dc.date.created | 2021-12-09T22:49:14Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Dovland, O. & Rodriguez, J. (2021). Isometric factorization of vector measures and applications to spaces of integrable functions. Journal of Mathematical Analysis and Applications, 508(1), 1-16. | en_US |
dc.identifier.issn | 1096-0813 | |
dc.identifier.uri | https://hdl.handle.net/11250/3044637 | |
dc.description.abstract | Let X be a Banach space, Σ be a σ-algebra, and be a (countably additive) vector measure. It is a well known consequence of the Davis-Figiel-Johnson-Pełczyński factorization procedure that there exist a reflexive Banach space Y, a vector measure and an injective operator such that m factors as . We elaborate some theory of factoring vector measures and their integration operators with the help of the isometric version of the Davis-Figiel-Johnson-Pełczyński factorization procedure. Along this way, we sharpen a result of Okada and Ricker that if the integration operator on is weakly compact, then is equal, up to equivalence of norms, to some where Y is reflexive; here we prove that the above equality can be taken to be isometric. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Isometric factorization of vector measures and applications to spaces of integrable functions | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © 2021 The Author(s) | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
dc.source.pagenumber | 1-16 | en_US |
dc.source.volume | 508 | en_US |
dc.source.journal | Journal of Mathematical Analysis and Applications | en_US |
dc.source.issue | 1 | en_US |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2021.125857 | |
dc.identifier.cristin | 1966852 | |
dc.relation.project | Agencia Estatal de Investigación: MTM2017-86182-P, cofunded by ERDF, EU | en_US |
dc.relation.project | Fundación Séneca: 20797/PI/18 | en_US |
dc.description.localcode | Paid open access | en_US |
dc.source.articlenumber | 125857 | en_US |
cristin.qualitycode | 1 | |