Pelczynski's property (V) on spaces of vector valued functions

1994/10/31 by Narcisse Randrianantoanina, Randrianantoanina, Narcisse
Mathematics · #46E #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.math/9410205

openalex publication_date 1994/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be a separable Banach space and Ω be a compact Hausdorff space. It is shown that the space C(Ω,E) has property (V) if and only if E does. Similar result is also given for Bochner spaces L^p(μ,E) if 1

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