A stronger Dunford-Pettis property
H. Carrión ; P. Galindo ; M. L. Lourenço
Studia Mathematica, Tome 187 (2008), p. 205-216 / Harvested from The Polish Digital Mathematics Library
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We discuss a strong version of the Dunford-Pettis property, earlier named (DP*) property, which is shared by both ℓ₁ and ℓ∞. It is equivalent to the Dunford-Pettis property plus the fact that every quotient map onto c₀ is completely continuous. Other weak sequential continuity results on polynomials and analytic mappings related to the (DP*) property are shown.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:285162 
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H. Carrión; P. Galindo; M. L. Lourenço. A stronger Dunford-Pettis property. Studia Mathematica, Tome 187 (2008) pp. 205-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-1/