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Una nota sobre la propiedad de Dunford-Pettis

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1987
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Universidade do Minho, Departamento de Matemática e Aplicações
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A difficult problem in Banach space theory is if every Banach space X with the hereditary Dunford-Pettis property possess this property in the uniform sense. In this note we connect these properties with other two propetries that the dual space X' may have or noto Moreover, these questions are related with other difficult problem:what conditions we must impose on a Banach space y in order to the Banach space of the Y-valued Bochner integrable functions defined on 10,11 (that's to say, L 1C¡0,11 ,Y)) possess the Dunford-Pettis property.
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Espacios de Banach
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XII Jornadas Luso-Espanholas de Matemática : Universidade do Minho, 4 a 8 Maio 1987, Vol. 2. Braga: Universidade do Minho, 1987, p. 412-417