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The Hereditary Dunford-Pettis Property For L1(E)

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dc.contributor.authorCembranos, Pilar
dc.date.accessioned2023-06-20T16:50:25Z
dc.date.available2023-06-20T16:50:25Z
dc.date.issued1990-04
dc.description.abstractA Banach Space E Is Said To Be Hereditarily Dunford-Pettis If All Of Its Closed Subspaces Have The Dunford-Pettis Property. In This Note We Prove That The Banach Space 11 (E), Of All Absolutely Summing Sequences In E With The Usual Norm, Is Hereditarily Dunford-Pettis If And Only If E Is Also.
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/14902
dc.identifier.doihttp://dx.doi,org/10.2307/204795
dc.identifier.issn0002-9939
dc.identifier.officialurlhttp://www.jstor.org/stable/2047951 .
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57195
dc.issue.number4
dc.journal.titleProceedings of the American Mathematical Society
dc.language.isoeng
dc.page.final950
dc.page.initial947
dc.publisherAmerican Mathematical Society
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordMathematics
dc.subject.keywordApplied
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleThe Hereditary Dunford-Pettis Property For L1(E)
dc.typejournal article
dc.volume.number108
dcterms.references1. P. Cembranos, The hereditary Dunford-Pettis property on C(K,E), Illinois J. Math. 31 (1987), 365-373. 2. J. Diestel, A survey of results related to the Dunford-Pettis property, Contemp. Math. 2 (1980), 15-60. 3. , Sequencesa nd series in Banach spaces, Springer-VerlagN, ew York, 1984. 4. H. Knaust and E. Odell, On co sequences in Banach spaces, (to appear in Israel J. Math.). 5. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces I, Springer-Verlag, New York, 1977.
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