Banach spaces with Property (w)

1991/07/24 by Denny H. Leung, Leung, Denny H.
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9201230

openalex publication_date 1991/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Banach space E is said to have Property (w) if every (bounded linear) operator from E into E' is weakly compact. We give some interesting examples of James type Banach spaces with Property (w). We also consider the passing of Property (w) from E to C(K,E).

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