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A stronger Dunford-Pettis property

H. Carrión; P. Galindo; M. L. Lourenço — 2008

Studia Mathematica

We discuss a strong version of the Dunford-Pettis property, earlier named (DP*) property, which is shared by both ℓ₁ and $ℓ_{\infty}$ . 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.

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