Abstract Riemann integrability and measurability

Amo, Enrique de; Campo Acosta, Ricardo del; Díaz Carrillo, M.

doi:10.1007/s10587-009-0080-9

Artículo

dc.creator	Amo, Enrique de	es
dc.creator	Campo Acosta, Ricardo del	es
dc.creator	Díaz Carrillo, M.	es
dc.date.accessioned	2022-07-26T10:02:57Z
dc.date.available	2022-07-26T10:02:57Z
dc.date.issued	2009
dc.identifier.citation	Amo, E.d., Campo Acosta, R.d. y Díaz Carrillo, M. (2009). Abstract Riemann integrability and measurability. Czechoslovak Mathematical Journal, 59 (4), 1123-1139.
dc.identifier.issn	0011-4642	es
dc.identifier.uri	https://hdl.handle.net/11441/135782
dc.description.abstract	We prove that the spectral sets of any positive abstract Riemann integrable function are measurable but (at most) a countable amount of them. In addition, the integral of such a function can be computed as an improper classical Riemann integral of the measures of its spectral sets under some weak continuity conditions which in fact characterize the integral representation.	es
dc.format	application/pdf	es
dc.format.extent	17	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Czechoslovak Mathematical Journal, 59 (4), 1123-1139.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Finitely additive integration	es
dc.subject	Localized convergence	es
dc.subject	Integral representation	es
dc.subject	Weak continuity conditions	es
dc.subject	Horizontal integration	es
dc.title	Abstract Riemann integrability and measurability	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s10587-009-0080-9	es
dc.identifier.doi	10.1007/s10587-009-0080-9	es
dc.contributor.group	Universidad de Sevilla. FQM-133: Investigación en Análisis Funcional	es
dc.journaltitle	Czechoslovak Mathematical Journal	es
dc.publication.volumen	59	es
dc.publication.issue	4	es
dc.publication.initialPage	1123	es
dc.publication.endPage	1139	es
dc.identifier.sisius	6706647	es

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