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Lineability within probability theory settings

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Lineability within probability theory settings

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Nombre: Conejero;Fenoy;Murillo ...
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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Fenoy, Mar es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.contributor.author Seoane Sepúlveda, Juan B. es_ES
dc.date.accessioned 2020-09-12T03:34:37Z
dc.date.available 2020-09-12T03:34:37Z
dc.date.issued 2017-07 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/149939
dc.description.abstract [EN] The search of lineability consists on finding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex analysis, sequence spaces, linear dynamics, norm-attaining functionals, zeros of polynomials in Banach spaces, Dirichlet series, and non-convergent Fourier series, among others. In this paper we present the novelty of linking this notion of lineability to the area of Probability Theory by providing positive (and negative) results within the framework of martingales, random variables, and certain stochastic processes. es_ES
dc.description.sponsorship This work was partially supported by Ministerio de Educacion, Cultura y Deporte, projects MTM2013-47093-P and MTM2015-65825-P, by the Basque Government through the BERC 2014-2017 program and by the Spanish Ministerio de Economia y Competitividad: BCAM Severo Ochoa excellence accreditation SEV-2013-0323. 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 Lineability es_ES
dc.subject Spaceability es_ES
dc.subject Probability theory es_ES
dc.subject Random variable es_ES
dc.subject Stochastic process es_ES
dc.subject Martingale es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Lineability within probability theory settings es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-016-0318-y es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//SEV-2013-0323/ES/-/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-65825-P/ES/ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO/ 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 Conejero, JA.; Fenoy, M.; Murillo Arcila, M.; Seoane Sepúlveda, JB. (2017). Lineability within probability theory settings. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 111(3):673-684. https://doi.org/10.1007/s13398-016-0318-y es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-016-0318-y es_ES
dc.description.upvformatpinicio 673 es_ES
dc.description.upvformatpfin 684 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\353116 es_ES
dc.contributor.funder Gobierno Vasco/Eusko Jaurlaritza es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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