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Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property

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Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property

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dc.contributor.author Agud Albesa, Lucia es_ES
dc.contributor.author Calabuig, J. M. es_ES
dc.contributor.author Lajara, Sebastian es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2020-09-12T03:34:01Z
dc.date.available 2020-09-12T03:34:01Z
dc.date.issued 2017-07 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/149919
dc.description.abstract [EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach lattice. Applications in the setting of the Bishop-Phelps-Bollobás property (both for operators and bilinear forms) are also given. es_ES
dc.description.sponsorship Research supported by Ministerio de Economia y Competitividad and FEDER under projects MTM2012-36740-c02-02 (L. Agud and E.A. Sanchez-Perez), MTM201453009-P (J.M. Calabuig) and MTM2014-54182-P (S. Lajara). S. Lajara was also supported by project 19275/PI/14 funded by Fundacion Seneca-Agencia de Ciencia y Tecnologia de la Region de Murcia within the framework of PCTIRM 2011-2014. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject L-p of a vector measure es_ES
dc.subject Banach function space es_ES
dc.subject Gâteaux and Féchet uniformly smooth norm es_ES
dc.subject Bishop-Phelps-Bollobás property es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-016-0327-x es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-53009-P/ES/ANALISIS VECTORIAL, MULTILINEAL Y APLICACIONES/ 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/MINECO//MTM2014-54182-P/ES/TOPOLOGIA, ANALISIS Y CONJUNTOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/f SéNeCa//19275%2FPI%2F14/ 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 Agud Albesa, L.; Calabuig, JM.; Lajara, S.; Sánchez Pérez, EA. (2017). Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 111(3):735-751. https://doi.org/10.1007/s13398-016-0327-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-016-0327-x es_ES
dc.description.upvformatpinicio 735 es_ES
dc.description.upvformatpfin 751 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 111 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\320382 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia es_ES
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