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Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces

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Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces

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dc.contributor.author Erdogan, Ezgi es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2021-11-05T14:08:32Z
dc.date.available 2021-11-05T14:08:32Z
dc.date.issued 2020-03-15 es_ES
dc.identifier.issn 0022-247X es_ES
dc.identifier.uri http://hdl.handle.net/10251/176335
dc.description.abstract [EN] We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear forms as elements of the dual of an injective tensor product. We show that this general method fits with several known situations coming from different contexts-harmonic analysis, C*-algebras, C(K)-spaces, operator theory, polynomials-, providing a unified approach to the integral representation of a broad class of bilinear operators. Some examples and applications are also shown, regarding for example operator spaces and summability properties of bilinear maps. (C) 2019 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The second author was supported by Ministerio de Ciencia, Innovation y Universidades, Agencia Estatal de Investigation and FEDER, Grant MTM2016-77054-C2-1-P es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Mathematical Analysis and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject C(K)-spaces es_ES
dc.subject Bilinear operators es_ES
dc.subject Orthogonally additive polynomials es_ES
dc.subject Surnmability es_ES
dc.subject Factorization es_ES
dc.subject Pietsch integral es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jmaa.2019.123629 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 Erdogan, E.; Sánchez Pérez, EA. (2020). Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces. Journal of Mathematical Analysis and Applications. 483(2):1-25. https://doi.org/10.1016/j.jmaa.2019.123629 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jmaa.2019.123629 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 25 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 483 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\406125 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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