- -

Strongly embedded subspaces of p-convex Banach function spaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Strongly embedded subspaces of p-convex Banach function spaces

Mostrar el registro sencillo del ítem

Ficheros en el ítem

[Cerrado]
Nombre: Calabuig;Rodrígue ...
Tamaño: 488.2Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Calabuig Rodriguez, Jose Manuel es_ES
dc.contributor.author Rodríguez Ruiz, José es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-03-09T09:59:45Z
dc.date.available 2015-03-09T09:59:45Z
dc.date.issued 2013-09
dc.identifier.issn 1385-1292
dc.identifier.uri http://hdl.handle.net/10251/47866
dc.description.abstract Let be a p-convex () order continuous Banach function space over a positive finite measure . We characterize the subspaces of which can be found simultaneously in and a suitable space, where is a positive finite measure related to the representation of as an space of a vector measure . We provide in this way new tools to analyze the strict singularity of the inclusion of in such an space. No rearrangement invariant type restrictions on are required. es_ES
dc.description.sponsorship J.M. Calabuig was supported by Ministerio de Economia y Competitividad (project MTM2011-23164) (Spain). J. Rodriguez was supported by Ministerio de Economia y Competitividad (project MTM2011-25377) (Spain). E. A. Sanchez-Perez was supported by Ministerio de Economia y Competitividad (project MTM2009-14483-C02-02) (Spain). en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Positivity es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Strongly embedded subspace es_ES
dc.subject P-Convex Banach function space es_ES
dc.subject Strictly singular operator es_ES
dc.subject Vector measure es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Strongly embedded subspaces of p-convex Banach function spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-012-0204-6
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./ / es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-25377/ES/LA INTERACCION ENTRE TEORIA DE LA MEDIDA, TOPOLOGIA Y ANALISIS FUNCIONAL./ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-23164/ES/ANALISIS DE FOURIER MULTILINEAL, VECTORIAL Y SUS APLICACIONES/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Calabuig Rodriguez, JM.; Rodríguez Ruiz, J.; Sánchez Pérez, EA. (2013). Strongly embedded subspaces of p-convex Banach function spaces. Positivity. 17(3):775-791. doi:10.1007/s11117-012-0204-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s11117-012-0204-6 es_ES
dc.description.upvformatpinicio 775 es_ES
dc.description.upvformatpfin 791 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 17 es_ES
dc.description.issue 3 es_ES
dc.relation.senia 256599
dc.identifier.eissn 1572-9281
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.description.references Astashkin, S.V., Hernández, F.L., Semenov, E.M.: Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces. Studia Math. 193(3), 269–283 (2009) es_ES
dc.description.references Cobos, F., Pustylnik, E.: On strictly singular and strictly cosingular embeddings between Banach lattices of functions. Math. Proc. Cambridge Philos. Soc. 133(1), 183–190 (2002) es_ES
dc.description.references Diestel, J., Jarchow, H., Tonge, A.: Absolutely Summing Operators, Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (1995) es_ES
dc.description.references Diestel, J., Uhl J.J. Jr., Vector measures. American Mathematical Society, Providence (1977) (With a foreword by B. J. Pettis, Mathematical Surveys, No. 15) es_ES
dc.description.references Fernández, A., Mayoral, F., Naranjo, F., Sáez, C., Sánchez-Pérez, E.A.: Vector measure Maurey-Rosenthal-type factorizations and $$l$$ -sums of $$L^1$$ -spaces. J. Funct. Anal. 220(2), 460–485 (2005) es_ES
dc.description.references Fernández, A., Mayoral, F., Naranjo, F., Sáez, C., Sánchez-Pérez, E.A.: Spaces of $$p$$ -integrable functions with respect to a vector measure. Positivity 10(1), 1–16 (2006) es_ES
dc.description.references Figiel, T., Johnson, W.B., Tzafriri, L.: On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces, J. Approx. Theory 13:395–412 (1975) (Collection of articles dedicated to Lorentz, G.G. on the occasion of his sixty-fifth birthday, IV) es_ES
dc.description.references Flores, J., Hernández, F.L., Kalton, N.J., Tradacete, P.: Characterizations of strictly singular operators on Banach lattices. J. Lond. Math. Soc. (2) 79(3), 612–630 (2009) es_ES
dc.description.references Hernández, F.L., Novikov, S.Ya., Semenov, E.M.: Strictly singular embeddings between rearrangement invariant spaces, Positivity 7(no. 1–2), 119–124 (2003) [Positivity and its applications (Nijmegen, 2001)] es_ES
dc.description.references Hernández, F.L., Sánchez, V.M., Semenov, E.M.: Disjoint strict singularity of inclusions between rearrangement invariant spaces. Studia Math. 144(3), 209–226 (2001) es_ES
dc.description.references Hernández, F.L., Sánchez, V.M., Semenov, E.M.: Strictly singular and strictly co-singular inclusions between symmetric sequence spaces. J. Math. Anal. Appl. 291(2), 459–476 (2004) es_ES
dc.description.references Hernández, F.L., Sánchez, V.M., Semenov, E.M.: Strictly singular inclusions into $$L^1+L^\infty $$ . Math. Z. 258(1), 87–106 (2008) es_ES
dc.description.references Lindenstrauss, J., Tzafriri, L.: Classical Banach spaces. II. In: Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas]. Function spaces, vol. 97. Springer, Berlin (1979) es_ES
dc.description.references Okada, S., Ricker, W.J., Sánchez-Pérez, E.A.: Optimal domain and integral extension of operators. In: Operator Theory: Advances and Applications. Acting in function spaces, vol. 180. Birkhäuser Verlag, Basel (2008) es_ES
dc.description.references Sánchez-Pérez, E.A.: Compactness arguments for spaces of $$p$$ -integrable functions with respect to a vector measure and factorization of operators through Lebesgue-Bochner spaces. Illinois J. Math. 45(3), 907–923 (2001) es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem