On local convexity of bounded weak topologies on banach-spaces
| dc.contributor.author | Gómez Gil, Javier | |
| dc.date.accessioned | 2023-06-21T02:02:03Z | |
| dc.date.available | 2023-06-21T02:02:03Z | |
| dc.date.issued | 1984 | |
| dc.description.abstract | This paper is devoted to the question "Under what conditions on a Banach space E is it true that the bounded weak topology is locally convex?". The theorem of Banach and Dieudonné shows that reflexivity is a sufficient condition. The author proves that reflexivity is also a necessary condition | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15819 | |
| dc.identifier.issn | 0030-8730 | |
| dc.identifier.officialurl | http://projecteuclid.org/euclid.pjm/1102711098 | |
| dc.identifier.relatedurl | http://projecteuclid.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64652 | |
| dc.issue.number | 1 | |
| dc.journal.title | Pacific Journal of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 76 | |
| dc.page.initial | 71 | |
| dc.publisher | Pacific Journal of Mathematics | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Duality and reflexivity in normed spaces | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | On local convexity of bounded weak topologies on banach-spaces | |
| dc.type | journal article | |
| dc.volume.number | 110 | |
| dcterms.references | H. S. Collins, Completeness and compactness in linear topological spaces, Trans. Amer. Math. Soc, 79 (1955), 256-280. M. M. Day, Normed Linear Spaces, Berlin 1962. J. Ferrera, Espacios de funciones debilmente continuas sobre espacios de Banach, Tesis Doctoral, Universidad Complutense, Madrid (1980). J. Horvath, Topological Vector Spaces and Distributions, Addison-Wesley, Reading, Massachusetts, 1959. H. P. Rosenthal, Some recent discoveries in the isomorphic theory of Banach Spaces, Bull. H. H. Schaefer, Topological Vector Spaces, Springer-Verlag, Berlin and New York, 1971. R. F. Wheeler, The equicontinuous weak* topology and semi-reflexivity, Studia Mathematica, XLI (1972), 243-256. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 88621a6e-cb08-45cc-a43e-43a388119938 | |
| relation.isAuthorOfPublication.latestForDiscovery | 88621a6e-cb08-45cc-a43e-43a388119938 |
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