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On local convexity of bounded weak topologies on banach-spaces

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dc.contributor.authorGómez Gil, Javier
dc.date.accessioned2023-06-21T02:02:03Z
dc.date.available2023-06-21T02:02:03Z
dc.date.issued1984
dc.description.abstractThis 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.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15819
dc.identifier.citationH. 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.
dc.identifier.issn0030-8730
dc.identifier.officialurlhttp://projecteuclid.org/euclid.pjm/1102711098
dc.identifier.relatedurlhttp://projecteuclid.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64652
dc.issue.number1
dc.journal.titlePacific Journal of Mathematics
dc.language.isoeng
dc.page.final76
dc.page.initial71
dc.publisherPacific Journal of Mathematics
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordDuality and reflexivity in normed spaces
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleOn local convexity of bounded weak topologies on banach-spaces
dc.typejournal article
dc.volume.number110
dspace.entity.typePublication
relation.isAuthorOfPublication88621a6e-cb08-45cc-a43e-43a388119938
relation.isAuthorOfPublication.latestForDiscovery88621a6e-cb08-45cc-a43e-43a388119938
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