Polynomial topologies on Banach spaces
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.contributor.author | Garrido Carballo, María Isabel | |
| dc.contributor.author | González Llavona, José Luis | |
| dc.date.accessioned | 2023-06-20T09:35:29Z | |
| dc.date.available | 2023-06-20T09:35:29Z | |
| dc.date.issued | 2005-06-05 | |
| dc.description | Research supported in part by DGES (Spain) with grants BFM2000-0609 and BFM2003-06420 2005 Elsevier B.V. All rights reserved. It is a great pleasure to thank Professors Silvia Lassalle, Juan Ferrera and Angeles Prieto for several valuable conversations concerning this work. | |
| dc.description.abstract | On every real Banach space X we introduce a locally convex topology tau(p), canonically associated to the weak-polynomial topology w(P). It is proved that tau(p) is the finest locally convex topology on X which is coarser than w(P). Furthermore, the convergence of sequences is considered, and sufficient conditions on X are obtained under which the convergent sequences for w(P) and for tau(P) either coincide with the weakly convergent sequences (when X has the Dunford-Pettis property) or coincide with the norm-convergent sequences (when X has nontrivial type). | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15509 | |
| dc.identifier.citation | Garrido, M. Isabel, et al. «Polynomial Topologies on Banach Spaces». Topology and Its Applications, vol. 153, n.o 5-6, diciembre de 2005, pp. 854-67. DOI.org (Crossref), https://doi.org/10.1016/j.topol.2005.01.015. | |
| dc.identifier.doi | 10.1016/j.topol.2005.01.015 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.officialurl | https://doi.org/10.1016/j.topol.2005.01.015 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0166864105000167 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49982 | |
| dc.journal.title | Topology and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 867 | |
| dc.page.initial | 854 | |
| dc.publisher | Elsevier Science | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Banach space | |
| dc.subject.keyword | Polynomial topologies | |
| dc.subject.keyword | Weakly convergent sequences | |
| dc.subject.keyword | Dunford–Pettis property | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Polynomial topologies on Banach spaces | |
| dc.type | journal article | |
| dc.volume.number | 153 | |
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