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

[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 th...

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Detalles Bibliográficos
Autores: Erdogan, Ezgi, Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/176335
Acceso en línea:https://riunet.upv.es/handle/10251/176335
Access Level:acceso abierto
Palabra clave:C(K)-spaces
Bilinear operators
Orthogonally additive polynomials
Surnmability
Factorization
Pietsch integral
MATEMATICA APLICADA
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spelling Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spacesErdogan, EzgiSánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154C(K)-spacesBilinear operatorsOrthogonally additive polynomialsSurnmabilityFactorizationPietsch integralMATEMATICA APLICADA[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.The second author was supported by Ministerio de Ciencia, Innovation y Universidades, Agencia Estatal de Investigation and FEDER, Grant MTM2016-77054-C2-1-PElsevierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosEuropean Regional Development FundMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-03-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/176335reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77054-C2-1-P ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓNopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1763352026-06-13T07:49:27Z
dc.title.none.fl_str_mv Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
title Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
spellingShingle Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
Erdogan, Ezgi
C(K)-spaces
Bilinear operators
Orthogonally additive polynomials
Surnmability
Factorization
Pietsch integral
MATEMATICA APLICADA
title_short Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
title_full Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
title_fullStr Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
title_full_unstemmed Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
title_sort Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
dc.creator.none.fl_str_mv Erdogan, Ezgi
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Erdogan, Ezgi
author_facet Erdogan, Ezgi
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
European Regional Development Fund
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv C(K)-spaces
Bilinear operators
Orthogonally additive polynomials
Surnmability
Factorization
Pietsch integral
MATEMATICA APLICADA
topic C(K)-spaces
Bilinear operators
Orthogonally additive polynomials
Surnmability
Factorization
Pietsch integral
MATEMATICA APLICADA
description [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.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-03-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/176335
url https://riunet.upv.es/handle/10251/176335
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-77054-C2-1-P ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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