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Radon-Nikodym property in L(X,Y)

2016/03/23 by Mohammad Daher, M. Daher, Daher, M.
Mathematics · #46B22 #Advanced Operator Algebra Research #F.2.2 #FOS: Mathematics #Functional Analysis (math.FA) #I.2.7 #Mathematical Analysis and Transform Methods #acm:46B22 #advanced mathematical theories #math.FA #msc:46B22

paper · pdf · doi:10.48550/arxiv.1603.07127

9 pages, in French

arxiv created 2016/03/23 · openalex publication_date 2016/03/23 · arxiv updated 2016/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a separable Banach space and Y a space which has the Radon-Nikodym property. In this work, we show that L(X, Y) has the Radon-Nikodym property, if L(X, Y) is weakly locally uniformly convex or if L(X, Y) is a weakly compactly gen- erated space.

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