Some remarks on the Dunford-Pettis property

1995/01/24 by Narcisse Randrianantoanina, Randrianantoanina, Narcisse
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA

paper · pdf · doi:10.48550/arxiv.math/9501214

arxiv created 1995/01/24 · openalex publication_date 1995/01/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be the disk algebra, Ω be a compact Hausdorff space and μ be a finite Borel measure in Ω. It is shown that the dual of C(Ω,A) has the Dunford-Pettis Property. This proved in particular that the spaces C(Ω,A) and L¹(μ,A*) have the Dunford-Pettis property.

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