Bernal-González, L.; Conejero, JA.; Murillo Arcila, M.; Seoane Sepúlveda, JB. (2019). [S]-linear and convex structures in function families. Linear Algebra and its Applications. 579:463-483. https://doi.org/10.1016/j.laa.2019.07.003
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/156261
Título:
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[S]-linear and convex structures in function families
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Autor:
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Bernal-González, L.
Conejero, J. Alberto
Murillo Arcila, Marina
SEOANE SEPÚLVEDA, JUAN BENIGNO
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Entidad UPV:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Fecha difusión:
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Resumen:
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[EN] In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for ...[+]
[EN] In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for instance, classes of differentiable nowhere monotone functions as well as families of vectors having dense orbit with respect to an operator. Large convex structures are also shown to exist inside the family of topologically mixing continuous selfmaps of a real compact interval. (C) 2019 Elsevier Inc. All rights reserved.
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Palabras clave:
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Lineability
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Spaceability
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Convexity
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Hypercyclic operator
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Derechos de uso:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Fuente:
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Linear Algebra and its Applications. (issn:
0024-3795
)
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DOI:
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10.1016/j.laa.2019.07.003
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Editorial:
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Elsevier
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Versión del editor:
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https://doi.org/10.1016/j.laa.2019.07.003
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Código del Proyecto:
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info:eu-repo/grantAgreement/Junta de Andalucía//FQM-127/ES/Análisis Funcional No Lineal/
...[+]
info:eu-repo/grantAgreement/Junta de Andalucía//FQM-127/ES/Análisis Funcional No Lineal/
info:eu-repo/grantAgreement/Junta de Andalucía//P08-FQM-03543/ES/Análisis matemático/
info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/GVA//GV%2F2018%2F110/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098474-B-C21/ES/METODOS DEL ANALISIS FUNCIONAL APLICADOS A: PROBLEMAS NO LINEALES, TEORIA DE JUEGOS Y LINEABILIDAD/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-097286-B-I00/ES/ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO/
info:eu-repo/grantAgreement/MINECO//MTM2015-65825-P/ES/ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO/
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Agradecimientos:
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The first author has been supported by the Plan Andaluz de Investigacion de la Junta de Andalucia FQM-127 Grant P08-FQM-03543 and by Ministerio de Ciencia, Innovacion y Universidades, Spain, grant PGC2018-098474-B-C21. The ...[+]
The first author has been supported by the Plan Andaluz de Investigacion de la Junta de Andalucia FQM-127 Grant P08-FQM-03543 and by Ministerio de Ciencia, Innovacion y Universidades, Spain, grant PGC2018-098474-B-C21. The second and third authors have been supported by MEC, grant MTM2016-75963-P. The third author has been supported by Generalitat Valenciana, Spain, GVA/2018/110. The fourth author has been supported by MEC grant MTM2015-65825-P and by Ministerio de Ciencia, Innovacion y Universidades, Spain, grant PGC2018-097286-B-I00.
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Tipo:
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Artículo
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