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The Dieudonné property on C(K,E).

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dc.contributor.authorBombal Gordón, Fernando
dc.contributor.authorCembranos, Pilar
dc.date.accessioned2023-06-21T02:01:38Z
dc.date.available2023-06-21T02:01:38Z
dc.date.issued1984
dc.description.abstractIn this paper we prove that if E is a Banach space with separable dual, then the space C(K, E) of all continuous E-valued functions on a compact Haus-dorff topological space K has the Dieudonnep roperty.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15179
dc.identifier.doi10.2307/1999456
dc.identifier.issn0002-9947
dc.identifier.officialurlhttp://www.ams.org/journals/tran/1984-285-02/S0002-9947-1984-0752496-9/S0002-9947-1984-0752496-9.pdf
dc.identifier.relatedurlhttp://www.ams.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64620
dc.issue.number2
dc.journal.titleTransactions of the American Mathematical Society
dc.language.isoeng
dc.page.final656
dc.page.initial649
dc.publisherAmerican Mathematical Society
dc.rights.accessRightsrestricted access
dc.subject.cdu517.986.6
dc.subject.cdu517.518.45
dc.subject.keywordVector-valued continuous functions
dc.subject.keywordDieudonn´e property
dc.subject.keywordBanach space with separable dual
dc.subject.keywordRadon Nikodym Property
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleThe Dieudonné property on C(K,E).
dc.typejournal article
dc.volume.number285
dcterms.referencesJ. Batt and E. J. Berg, Linear bounded transformations on the space of continuous functions, J. Funct. Anal. 4 (1969), 215-239. W. J. Davis, T. Figiel,W. B. Johnson and A. Pełczynski, Factoring weakly compact operators, J. Funct. Anal. 17 (1974), 311-327. J. Diestel and J. J. Uhl, Jr., Vector measures, Math. Surveys, No. 15, Amer. Math. Soc., Providence, R. I., 1977. I. Dobrakov, On representation of linear operators on C0(T,X), Czech. Math. J. 21 (96) (1971), 13-30. A. Grothendieck, Sur les applications lin´eaires faiblement compactes d’espaces du type C(K), Canad. J. Math. 5 (1953), 129-173. R. B. Holmes, Geometric functional analysis and its applications, Springer-Verlag, New York, 1975. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces. I, Ergeb. Math. Grenzgeb., vol. 92, Springer-Verlag, Berlin, 1977. Z. Semadeni, Banach spaces of continuous functions, PWN,Warsaw, 1971.
dspace.entity.typePublication

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