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dc.contributor.author | Carlos Ferrando, Juan | es_ES |
dc.contributor.author | Kakol, Jerzy | es_ES |
dc.contributor.author | López Pellicer, Manuel | es_ES |
dc.date.accessioned | 2018-06-01T04:20:51Z | |
dc.date.available | 2018-06-01T04:20:51Z | |
dc.date.issued | 2017 | es_ES |
dc.identifier.issn | 0025-584X | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/103128 | |
dc.description.abstract | [EN] A subset Y of the dual closed unit ball B_{E*} of a Banach space E is called a Rainwater set for E if every bounded sequence of E that converges pointwise on Y converges weakly in E. In this paper, topological properties of Rainwater sets for the Banach space C^{b}(X) of the real-valued continuous and bounded functions defined on a completely regular space X equipped with the supremum-norm are studied. This applies to characterize the weak K-analyticity of C^{b}(X) in terms of certain Rainwater sets for C^{b}(X). Particularly, we show that C^{b}(X) is weakly K-analytic if and only if there exists a Rainwater set Y for C^{b}(X) such that (C^{b}(X),sigma_{Y}) is both K-analytic and angelic, where sigma_{Y} denotes the topology on C^{b}(X) of the pointwise convergence on Y. For the case when X is compact, one gets classic Talagrand¿s theorem. As an application we show that if X is a compact space and Y is a G_{delta}-dense subspace, then X is Talagrand compact, i.e., C^{p}(X)) is K-analytic, if and only if the space (C(X),sigma_{Y}) is K-analytic. | es_ES |
dc.description.sponsorship | Conselleria d'Educacio, Investigacio, Cultura i Esports of Generalitat Valenciana, Grant, PROMETEO/2013/058; Prague, Institute of Mathematics, Academy of Sciences of the Czech Republic, Grant, GACR project 16-34860L, RVO: 67985840 | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | John Wiley & Sons | es_ES |
dc.relation.ispartof | Mathematische Nachrichten | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Pseudocompact space | es_ES |
dc.subject | K-analytic space | es_ES |
dc.subject | Rainwater set | es_ES |
dc.subject | Talagrand compact set | es_ES |
dc.subject | Lindelof sigma-space | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On spaces C^{b}(X) weakly K-analytic | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1002/mana.201600396 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2013%2F058/ | es_ES |
dc.rights.accessRights | Cerrado | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Carlos Ferrando, J.; Kakol, J.; López Pellicer, M. (2017). On spaces C^{b}(X) weakly K-analytic. Mathematische Nachrichten. 290(16):2612-2618. https://doi.org/10.1002/mana.201600396 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1002/mana.201600396 | es_ES |
dc.description.upvformatpinicio | 2612 | es_ES |
dc.description.upvformatpfin | 2618 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 290 | es_ES |
dc.description.issue | 16 | es_ES |
dc.relation.pasarela | S\348433 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |