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On the separable quotient problem for Banach Spaces

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On the separable quotient problem for Banach Spaces

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Nombre: Ferrando;Kakol;López ...
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dc.contributor.author Ferrando, J. C. es_ES
dc.contributor.author Kakol, Jerzy es_ES
dc.contributor.author López Pellicer, Manuel es_ES
dc.contributor.author Sliwa, Wieslaw es_ES
dc.date.accessioned 2020-07-08T03:31:49Z
dc.date.available 2020-07-08T03:31:49Z
dc.date.issued 2018-12 es_ES
dc.identifier.issn 0208-6573 es_ES
dc.identifier.uri http://hdl.handle.net/10251/147615
dc.description.abstract [EN] While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of infinite-dimensional separable quotients in some Banach spaces of vector-valued functions, linear operators and vector measures. Most of the presented results are consequences of known facts, some of them relative to the presence of complemented copies of the classic sequence spaces c_0 and lp. Also recent results of Argyros, Dodos, Kanellopoulos [see 1 in the paper] and Sliwa [see 64 in the paper] are provided. This makes our presentation supplementary to a previous survey (1997) due to Mujica. es_ES
dc.description.sponsorship The first three named authors were supported by Grant PROMETEO/2013/058 of the Conselleria d'Educacio, Investigacio, Cultura i Esport of Generalitat Valenciana. The second named author was also supported by GACR Project 16-34860L and RVO: 67985840. es_ES
dc.language Inglés es_ES
dc.publisher Adam Mickiewicz University es_ES
dc.relation.ispartof Functiones et Approximatio Commentarii Mathematici es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach space es_ES
dc.subject Barrelled space es_ES
dc.subject Separable quotient es_ES
dc.subject Vector-valued function space es_ES
dc.subject Linear operator space es_ES
dc.subject Vector measure space es_ES
dc.subject Tensor product es_ES
dc.subject Radon-Nikodým property. es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the separable quotient problem for Banach Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.7169/facm/1704 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GACR//16-34860L/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GACR//67985840/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2013%2F058/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.description.bibliographicCitation Ferrando, JC.; Kakol, J.; López Pellicer, M.; Sliwa, W. (2018). On the separable quotient problem for Banach Spaces. Functiones et Approximatio Commentarii Mathematici. 59(2):153-173. https://doi.org/10.7169/facm/1704 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.7169/facm/1704 es_ES
dc.description.upvformatpinicio 153 es_ES
dc.description.upvformatpfin 173 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 59 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\385137 es_ES
dc.contributor.funder Czech Science Foundation es_ES
dc.contributor.funder Generalitat Valenciana es_ES


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