A stronger Dunford-Pettis property

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

Studia Mathematica (2008)

  • Volume: 184, Issue: 3, page 205-216
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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H. Carrión, P. Galindo, and M. L. Lourenço. "A stronger Dunford-Pettis property." Studia Mathematica 184.3 (2008): 205-216. <http://eudml.org/doc/285162>.

@article{H2008,
abstract = {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.},
author = {H. Carrión, P. Galindo, M. L. Lourenço},
journal = {Studia Mathematica},
keywords = {Dunford-Pettis property; weak*-Dunford-Pettis property; complete continuity; polynomial; Grothendieck space},
language = {eng},
number = {3},
pages = {205-216},
title = {A stronger Dunford-Pettis property},
url = {http://eudml.org/doc/285162},
volume = {184},
year = {2008},
}

TY - JOUR
AU - H. Carrión
AU - P. Galindo
AU - M. L. Lourenço
TI - A stronger Dunford-Pettis property
JO - Studia Mathematica
PY - 2008
VL - 184
IS - 3
SP - 205
EP - 216
AB - 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.
LA - eng
KW - Dunford-Pettis property; weak*-Dunford-Pettis property; complete continuity; polynomial; Grothendieck space
UR - http://eudml.org/doc/285162
ER -

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