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Absolutely (q, 1)-summing operators acting in C(K)-spaces and the weighted Orlicz property for Banach spaces

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Absolutely (q, 1)-summing operators acting in C(K)-spaces and the weighted Orlicz property for Banach spaces

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dc.contributor.author Calabuig, J. M. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2022-09-05T18:03:35Z
dc.date.available 2022-09-05T18:03:35Z
dc.date.issued 2021-07 es_ES
dc.identifier.issn 1385-1292 es_ES
dc.identifier.uri http://hdl.handle.net/10251/185287
dc.description.abstract [EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators. This result gives the celebrated factorization theorem of Pisier for (q, 1)-summing operators acting in C(K)-spaces. As far as we know, none of the known versions of the proof uses the separation argument presented here, which is essentially the same that proves Pietsch Domination Theorem for p-summing operators. Based on this proof, we propose an equivalent formulation of the main summability properties for operators, which allows to consider a broad class of summability properties in Banach spaces. As a consequence, we are able to show new versions of the Dvoretzky-Rogers Theorem involving other notions of summability, and analyze some weighted extensions of the q-Orlicz property. es_ES
dc.description.sponsorship Both authors were supported by the Ministerio de Ciencia, Innovacion y Universidades, Agencia Estatal de Investigacion (Spain) and FEDER, the first author under project PGC2018-095366-B-100 and the second under project MTM2016-77054-C2-1-P. 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 Summability es_ES
dc.subject Orlicz property es_ES
dc.subject Factorization space es_ES
dc.subject Operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Absolutely (q, 1)-summing operators acting in C(K)-spaces and the weighted Orlicz property for Banach spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-021-00811-y es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095366-B-I00/ES/ANALISIS VECTORIAL, MULTILINEAL Y APROXIMACION/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/ 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 Calabuig, JM.; Sánchez Pérez, EA. (2021). Absolutely (q, 1)-summing operators acting in C(K)-spaces and the weighted Orlicz property for Banach spaces. Positivity. 25(3):1199-1214. https://doi.org/10.1007/s11117-021-00811-y es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11117-021-00811-y es_ES
dc.description.upvformatpinicio 1199 es_ES
dc.description.upvformatpfin 1214 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\458350 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD es_ES
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