Geodesic
A stronger Dunford–Pettis property
H. Carrión1 ; P. Galindo2 ; M. L. Lourenço1
1Departamento de Matemática Instituto de Matemática e Estatística Universidade de São Paulo Caixa Postal 66281 CEP 05315-970, São Paulo, Brazil
2Departamento de Análisis Matemático Facultad de Matemáticas Universidad de Valencia 46100 Burjasot (Valencia), Spain
Studia Mathematica, Tome 184 (2008) no. 3, pp. 205-216
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We discuss a strong version of the Dunford–Pettis property, earlier named $(DP^*)$ property, which is shared by both $\ell _1$ and $\ell _\infty .$ It is equivalent to the Dunford–Pettis property plus the fact that every quotient map onto $c_0$ is completely continuous. Other weak sequential continuity results on polynomials and analytic mappings related to the $(DP^*)$ property are shown.
DOI : 10.4064/sm184-3-1
Keywords: discuss strong version dunford pettis property earlier named * property which shared ell ell infty equivalent dunford pettis property plus every quotient map completely continuous other weak sequential continuity results polynomials analytic mappings related * property shown

H. Carrión  1   ; P. Galindo  2   ; M. L. Lourenço  1

1 Departamento de Matemática Instituto de Matemática e Estatística Universidade de São Paulo Caixa Postal 66281 CEP 05315-970, São Paulo, Brazil
2 Departamento de Análisis Matemático Facultad de Matemáticas Universidad de Valencia 46100 Burjasot (Valencia), Spain 
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     title = {A stronger {Dunford{\textendash}Pettis} property},
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H. Carrión; P. Galindo; M. L. Lourenço. A stronger Dunford–Pettis property. Studia Mathematica, Tome 184 (2008) no. 3, pp. 205-216. doi: 10.4064/sm184-3-1

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