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http://hdl.handle.net/10662/15642
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Campo DC | Valor | idioma |
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dc.contributor.author | González Ortiz, Manuel | - |
dc.contributor.author | Martínez Abejón, Antonio | - |
dc.contributor.author | Pello García, Javier | - |
dc.date.accessioned | 2022-10-04T11:44:25Z | - |
dc.date.available | 2022-10-04T11:44:25Z | - |
dc.date.issued | 2007 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/15642 | - |
dc.description.abstract | We consider a certain class ℛ𝒩+ of operators that preserve the Radon-Nikodým property. Conjugate operators in ℛ𝒩 + can be characterized as those operators 𝑇 such that the kernel 𝑁(𝑇*+K*) has the Radon-Nikodým property for every compact operator K. A construction by J. Bourgain involving infinite convolution products of measures in the Cantor group provides examples of operators 𝑇 : L₁ → L₁ in the class ℛ𝒩 +. As an application, we show the existence of Banach spaces which are ℒ₁-spaces, have the Radon- Nikodým property and contain infinite-dimensional reflexive subspaces. | es_ES |
dc.description.sponsorship | Partially supported by D.G.I. (Spain), Grant MTM2005-03831. | es_ES |
dc.format.extent | 6 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Espacio de Banach | es_ES |
dc.subject | Propiedad de Radon-Nikodým | es_ES |
dc.subject | Espacio de Asplund | es_ES |
dc.subject | Espacio ℒ₁ | es_ES |
dc.subject | Perturbación compacta | es_ES |
dc.subject | Banach space | es_ES |
dc.subject | Radon-Nikodým property | es_ES |
dc.subject | Asplund space | es_ES |
dc.subject | ℒ₁-space | es_ES |
dc.subject | Compact perturbation | es_ES |
dc.title | On operators that preserve the Radon-Nikodým propertys | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.03 Álgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | GONZÁLEZ, M. , MARTÍNEZ-ABEJÓN, A. y PELLO GARCÍA, J. (2007). On operators that preserve the Radon-Nikodým propertys. Extracta Mathematicae, 22 (2), 191-196. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Universidad de Cantabria | es_ES |
dc.contributor.affiliation | Universidad de Oviedo | - |
dc.contributor.affiliation | Universidad Rey Juan Carlos | - |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 191 | es_ES |
dc.identifier.publicationlastpage | 196 | es_ES |
dc.identifier.publicationvolume | 22 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 22, nº 2 (2007) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_22_2_191.pdf | 147,78 kB | Adobe PDF | Descargar |
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