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Improving integrability via absolute summability: a general version of Diestel s Theorem

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Improving integrability via absolute summability: a general version of Diestel s Theorem

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dc.contributor.author Pellegrino, D. es_ES
dc.contributor.author Rueda, P. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2020-09-18T03:34:40Z
dc.date.available 2020-09-18T03:34:40Z
dc.date.issued 2016-06 es_ES
dc.identifier.issn 1385-1292 es_ES
dc.identifier.uri http://hdl.handle.net/10251/150310
dc.description.abstract [EN] A classical result by J. Diestel establishes that the composition of a summing operator with a (strongly measurable) Pettis integrable function gives a Bochner integrable function. In this paper we show that a much more general result is possible regarding the improvement of the integrability of vector valued functions by the summability of the operator. After proving a general result, we center our attention in the particular case given by the -absolutely continuous operators, that allows to prove a lot of special results on integration improvement for selected cases of classical Banach spaces-including C(K), and Hilbert spaces-and operators-p-summing, (q, p)-summing and p-approximable operators. es_ES
dc.description.sponsorship D. Pellegrino acknowledges with thanks the support of CNPq Grant 401735/2013-3 (Brazil). P. Rueda acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2011-22417. E.A. Sanchez Perez acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2012-36740-C02-02. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Positivity es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Absolutely summing operator es_ES
dc.subject Absolutely continuous operator es_ES
dc.subject Pettis integrable function es_ES
dc.subject Bochner integrable function es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Improving integrability via absolute summability: a general version of Diestel s Theorem es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-015-0361-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-22417/ES/ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CNPq//401735%2F2013-3-PVE/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Pellegrino, D.; Rueda, P.; Sánchez Pérez, EA. (2016). Improving integrability via absolute summability: a general version of Diestel s Theorem. Positivity. 20(2):369-383. https://doi.org/10.1007/s11117-015-0361-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11117-015-0361-5 es_ES
dc.description.upvformatpinicio 369 es_ES
dc.description.upvformatpfin 383 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\313000 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brasil es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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