Separably injective C_σ-spaces

2016/09/30 by Cho-Ho Chu, Lei Li, Chu, Cho-Ho +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1609.09648

openalex publication_date 2016/09/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We show that a (complex) C_σ-space is separably injective if and only if it is linearly isometric to the Banach space C₀(Ω) of complex continuous functions vanishing at infinity on a substonean locally compact Hausdorff space Ω.

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