Separably injective $C_σ$ -spaces

preprint2016arXivOpen access

We show that a (complex) $C_σ$ -space is separably injective if and only if it is linearly isometric to the Banach space $C_0(Ω)$ of complex continuous functions vanishing at infinity on a substonean locally compact Hausdorff space $Ω$ .

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Separably injective $C_σ$ -spaces

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Separably injective CσC_σCσ​-spaces

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Separably injective $C_σ$ -spaces